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some.random.cool.kid
 one year ago
Solve the quadratic equation x2 − 6x + 13 = 0 using the quadratic formula. What is the solution when expressed in the form a ± bi, where a and b are real numbers?
x = 3 ± 2i
x = 2 ± 3i
x = 3 ± 4i
x equals start fraction three plus or minus two i over two end fraction
some.random.cool.kid
 one year ago
Solve the quadratic equation x2 − 6x + 13 = 0 using the quadratic formula. What is the solution when expressed in the form a ± bi, where a and b are real numbers? x = 3 ± 2i x = 2 ± 3i x = 3 ± 4i x equals start fraction three plus or minus two i over two end fraction

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some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0please walk me thorugh...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0through* to get the right answr. @Nnesha

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0@pooja195

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0@DanJS @Data_LG2 @dan815 @triciaal

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1you know the quadratic formula that results from solving that standrard quadratic form for x =

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0i knew it but forgot mind showing me it?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1If ax^2 + bx + c = 0 \[x = \frac{ b \pm \sqrt{b^24ac} }{ 2a}\]

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0yes yess ik that ah thank ok so b is b 13 is c and 1 is a correct?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0thank you*

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0oops i said b is bxD

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0i meant b is 6

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0oops 6 not 6 ok

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0uh solve that?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0want me to solve it?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yeah , use those values and simplify as much as you can

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0uh...wait step by step please what will this look like when finished finding each letter ot the number? can you rewrite for me but this time instead of variables substitute it with numbers so that i may have an idea in my mind i do better solving when i have a visual.

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1ill type it out fast, i have to run for a while ... one sec

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0ok thank you

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1the battery died in my mouse right after that comment, sorry took forever to find a new one

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1\[x = \frac{  (6) \pm \sqrt{(6)^24*1*13} }{ 2*1 }\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1\[x = \frac{ 6 \pm \sqrt{16} }{ 2 }\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1the square root of a negative is not in the real numbers, for the complex, remember that the imaginary number i = square root of 1

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so so do i find the sqrt now because its 4

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1\[x = \frac{ 6 \pm \sqrt{16 * 1} }{ 2 } = \frac{ 6 \pm \sqrt{16}*\sqrt{1} }{ 2 }\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1replace root of 1 with that imaginary I symbol , then just have to simplify by dividing 2 into the top , root 16 is 4

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0i did say 4 its above

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1\[x = \frac{ 6 \pm 4*i}{ 2 } = 3 \pm 2i\]

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0isnt that the simpliest of forms?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so quick question do you have time for two more?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yeah, that is a conjugate pair, complex numbers come in pairs like that ..+ and 

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1x = 3 + 2i and x = 3  2i

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0you've been the only great help today that was able to explain in manor that i understood hope you have more time for jus two more.

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1sure , i can spend like 10 min prolly

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0great that should be enough. next one says 

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0Solve the equation 4x2 + 8x + 1 = 0 by completing the square. x equals start fraction three plus or minus square root of six end square root over two end fraction x equals six plus or minus two square root of six end square root x equals start fraction negative two plus or minus square root of three end square root over two end fraction x equals start fraction four plus or minus three square root of six end square root over eight end fraction

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0is this same method or is this the other method with teh factoring?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1completing square, you want to turn the ax^2 + bx + c into something that will factor into (term)*(term) or (term)^2, which are sides of equal length of a square..

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1as now you cant... 4x^2 + 8x + 1 = 0

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1you can add something to both sides of the equations so that you find a value that will factor 4x^2 + 8x + c The thing to remember is that you just take half of b^2

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1(b=8) [ b/2]^2 = [8/2]^2 = 16

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0so 8/2^2?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1add 16 to both sides of the quadratic like this... (4x^2 + 8x + 16) + 1 = 0 + 16

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1factorable now, and simplify

DanJS
 one year ago
Best ResponseYou've already chosen the best response.14(x^2 + 2x + 4) = 16  1

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0mmm wait you had me and then lost me lol so what am i factoring the 16 8x and the other one if so how do i go about doing this, by finding the common multiple?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1The reason to add (b/2)^2 = 16 to both sides, was because that will make the first two terms in the quadratic a perfect square with it... factors easy

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1see i added the 16 and grouped it with the 4x^2 + 8x + 16 ready to factor

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0alright so...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.14(x^2 + 2x + 4) = 16  1

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1x^2 + 2x + 4 = 15/4 (x + 2)*(x + 2) = 15/4

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.015/4 = 3.75 correct?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0still there?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0mouse died again? lawl

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1no , messed up, answer was wrong... i see where now... before you complete the square by adding on that half b squared term, you have to simplify the 4x^2 + 8x terms first by taking the factor of 4 out...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.14x^2 + 8x + 1 = 0 4*(x^2 + 2x) + 1 = 0 x^2 + 2x = 1/4 now complete square

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1x^2 + 2x + 1 = 1/4 + 1 (x + 1)^2 = 3/4

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0is there something i should do next?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0dont leave ill be right back using the restroom real quick.

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yeah take the square root of both sides, which recall has a + and a  value then subtract the 1 to isolate x

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1\[x+1 =\pm \sqrt{3/2} = \frac{ \pm \sqrt{3} }{ 2 }\] \[x = \frac{ \pm \sqrt{3} }{ 2 }  1\]

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0whats next?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1that is the answer, i was looking at the choices... x equals start fraction negative two plus or minus square root of three end square root over two end fraction

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0this should end with 2 + or minus sqrt of 3 all over two correct?

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0oh nvm you just said that...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1they wrote it as a single fraction, one last step i guess if you wanted.... replace the 1 with  2/2

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1then combine into a single fraction

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0k got it :D this prob took longer than i thought sure you still have time for the last one?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1cuz i f'ed up in like the first step.. hah

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1remember to put the thing into simler form next time before anything else

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1simplest form, standard form

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0What are the zeros for the function f(x) = 3x2 + 2x + 2 and how many times does the graph cross the xaxis? x equals start fraction negative one plus or minus i square root of seven end square root over three end fraction comma one time x equals start fraction negative one plus or minus i square root of five end square root over three end fraction comma never x equals start fraction negative two plus or minus two i square root of five end square root over three end fraction comma two times x equals start fraction negative one plus or minus five i over three end fraction comma never

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0i believe i got this one i thnk its d but it could also be the other never..

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0my teach said it would be never but idk which one i figured the imaginary number but i might be wrong.

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1zeroes are xintercept values, y = f(x) = 0 0 = 3x^2+2x+2

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1it is the second one , x equals start fraction negative one plus or minus i square root of five end square root over three end fraction comma never

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0man so it was the second one darn knew it could figure out which one thanks i almost would have said the one because after i solved it i gave up on trying to figure out whether it was an imag or no...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1that one you just hav eto put the numumbers into tha tquadratic formula for a = 3 b=2 c=2

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0thank you for your help and patience. night i am done with this review my next i dont think requires assistant so i will let you go now :~>

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yeah no real zeros, just complex roots

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1k, i should be on here tomorrow , not sure

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0:D i pasted all this as review for my EOC at the end of this semester well midterm ...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0ok thats perfect

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0do you have an idea of what time tomorrow i have some more stuff thats related to this...

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0i can hopefully use these as notes...
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