some.random.cool.kid
  • some.random.cool.kid
The complex solution to a quadratic equation is x equals start fraction negative 10 plus or minus square root of negative 700 end square root over two end fraction full stop Write this solution in standard form, x = a ± bi, where a and b are real numbers. Justify your answer by showing your work.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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some.random.cool.kid
  • some.random.cool.kid
need help bad
some.random.cool.kid
  • some.random.cool.kid
sqrt of the -700 is 26.4 and now im stuck
some.random.cool.kid
  • some.random.cool.kid

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some.random.cool.kid
  • some.random.cool.kid
thats the image I just attached the file instead because the writing was to messy.
Nnesha
  • Nnesha
don't use calculator forsqrt{-700} there is a negative sign so you should get imaginary solution so factor out the -700 what is the largest factor of 700 that should be the perfect square root
some.random.cool.kid
  • some.random.cool.kid
350?
some.random.cool.kid
  • some.random.cool.kid
idk a perfect sqrt for 700 close ive got is 26.4 and thats a decimal
Nnesha
  • Nnesha
hmm 350 isn't a perfect square root what two numbers would you multiply to get 700 ??
Nnesha
  • Nnesha
here are some example of perfect square root sqrt{16}= 4 sqrt{25}=5
some.random.cool.kid
  • some.random.cool.kid
350and 2?
some.random.cool.kid
  • some.random.cool.kid
that can get you 700?
anonymous
  • anonymous
Nnesha
  • Nnesha
like i said \[\sqrt{350} = 18.7\] you will get decimal answer so 350 isn't a perfect square what are the factors of 700 ?
some.random.cool.kid
  • some.random.cool.kid
please walk me through this too i dont want a straight answer
some.random.cool.kid
  • some.random.cool.kid
what factors do you mean? like single digit numbers?
Nnesha
  • Nnesha
yes like factors of 9 are 1 and 3 ,9 in other words 9 is divisible by 1 and 3 and 9
some.random.cool.kid
  • some.random.cool.kid
wait here are what i know
some.random.cool.kid
  • some.random.cool.kid
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70? do any those work?
some.random.cool.kid
  • some.random.cool.kid
if not im not sure what other factors their are for 700
Nnesha
  • Nnesha
what about 100 ? we need GREATEST factor
some.random.cool.kid
  • some.random.cool.kid
oh
Nnesha
  • Nnesha
7 times 100 = 700 and 100 is perfect square root ?
some.random.cool.kid
  • some.random.cool.kid
yeperz 10 x 10
some.random.cool.kid
  • some.random.cool.kid
so what do I do with this -700 then now that we figured out the two multiples?
Nnesha
  • Nnesha
yes right so we can writeh -700 as -1*7*100 100 bec we need greatest factor and sqrt{-1} bec we can change that to i \[\huge\rm \sqrt{-1} =i\]
Nnesha
  • Nnesha
\[\huge\rm \frac{ -10 \pm \sqrt{-1 \times 100 \times 7} }{ 2 }\] sqrt{100} = 10 and replace sqrt{-1} with i
some.random.cool.kid
  • some.random.cool.kid
ah ha ok ok quick questions Im not sure if what I learned is the best method for a short cut but can I divide both the -10 and that sqrt by 2? and then I believe there is some final step afterwards.
Nnesha
  • Nnesha
first deal with the square root part then you can take out the common factor at the numerator after that you will be able to divide by 2
some.random.cool.kid
  • some.random.cool.kid
alright so whats next then?
Nnesha
  • Nnesha
alright so sqrt{-700}= what ??(not the decimal answer)
some.random.cool.kid
  • some.random.cool.kid
xD thats funny because I was about to put the decimal again thanks for clarifying lol. So based off of what I see you've got the 7 and 100 as your two multiples correct?
Nnesha
  • Nnesha
\[\huge\rm \frac{ -10 \pm \sqrt{\color{Red}{-1 \times 100 \times 7}} }{ 2 }\] that's what we got whenever you see negative sign under the square root you should know that u have to take out the negative -1 so we can convert it to i
Nnesha
  • Nnesha
\[\huge\rm \frac{ -10 \pm \sqrt{\color{Red}{-1 \times 100 \times 7}} }{ 2 }\] can be written as \[\frac{ -10 \pm \sqrt{-1}\sqrt{100}\sqrt{7} }{ 2}\]
some.random.cool.kid
  • some.random.cool.kid
yep i have seen that before.
Nnesha
  • Nnesha
now simplify sqrt{100} =? sqrt{-1}=?
some.random.cool.kid
  • some.random.cool.kid
sqrt of 100 10x10?
Nnesha
  • Nnesha
you can write 100 as 10 times 10 (and when we multiply same bases we should `ADD` their exponents ) so 10 times 10 = 10^2 sqrt{10^2} =?
some.random.cool.kid
  • some.random.cool.kid
wait isn't the sqrt of 10^2 the same as saying just 10?
Nnesha
  • Nnesha
yes right !
Nnesha
  • Nnesha
and sqrt{-1} =what ?
some.random.cool.kid
  • some.random.cool.kid
{-1} {-1}?
some.random.cool.kid
  • some.random.cool.kid
you write it twice right ?
Nnesha
  • Nnesha
hmm reread my comments
some.random.cool.kid
  • some.random.cool.kid
your adding what the sqrt{-1}?
some.random.cool.kid
  • some.random.cool.kid
sqrt -1 all i see that is would be { I }
Nnesha
  • Nnesha
i'm asking sqrt{-1} equal to what scroll up you will see huge latex!
Nnesha
  • Nnesha
I as 1 or i lol ?
some.random.cool.kid
  • some.random.cool.kid
i
some.random.cool.kid
  • some.random.cool.kid
in latex I see -1 x 100 x 7?
Nnesha
  • Nnesha
\[\frac{ -10 \pm 10i \sqrt{7} }{ 2 }\] now you can take out the common factor at the numerator
Nnesha
  • Nnesha
http://prntscr.com/8iohs8
some.random.cool.kid
  • some.random.cool.kid
yeah i said it was i
Nnesha
  • Nnesha
remember |dw:1442804236685:dw|what is common in both terms ?
some.random.cool.kid
  • some.random.cool.kid
sorry uh is that 10i?
Nnesha
  • Nnesha
|dw:1442804384787:dw| there is no `eye`(i) in first term
some.random.cool.kid
  • some.random.cool.kid
the only common I see is the 7 and -10 because they are like terms where as the 10i is not same
some.random.cool.kid
  • some.random.cool.kid
no in second term you drew in extra line so I couldnt tell I was asking if that was an i
Nnesha
  • Nnesha
let me explain |dw:1442804430474:dw| there are two box red and blue what is the common number in both terms ?
some.random.cool.kid
  • some.random.cool.kid
well there is two 10's?
Nnesha
  • Nnesha
yes right take it out
some.random.cool.kid
  • some.random.cool.kid
ok so ow your left with i x sqrt of 7?
some.random.cool.kid
  • some.random.cool.kid
now*
Nnesha
  • Nnesha
what will you get when you take out 10 from -10?
Nnesha
  • Nnesha
or in other words divide 10 by common factor so -10/10 = ?
some.random.cool.kid
  • some.random.cool.kid
or is it i = sqrt of 7 and doesn't that cancel out?
some.random.cool.kid
  • some.random.cool.kid
that should cancel out because one is negative and both same numbers
Nnesha
  • Nnesha
no 2/2 would be 1 so 10/10 ?
some.random.cool.kid
  • some.random.cool.kid
wait 1?
Nnesha
  • Nnesha
yes right \[\frac{ 10(-1 \pm i \sqrt{7} )}{ 2 }\]
Nnesha
  • Nnesha
NOW you can divide 10 by 2
Nnesha
  • Nnesha
got one mint :D
some.random.cool.kid
  • some.random.cool.kid
so thats 5 uh one minute? you mean or like candy mint
Nnesha
  • Nnesha
\[ 5(-1 \pm i \sqrt{7})\] now you can distribute by 5
Nnesha
  • Nnesha
no i have to go
some.random.cool.kid
  • some.random.cool.kid
because i needed help with one more but if you have to go i can respect that
some.random.cool.kid
  • some.random.cool.kid
ok bye
Nnesha
  • Nnesha
alright hope that hlped sorry but gtg

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