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jazzyfa30
 2 years ago
Solve the equation by using the Square Root Property.
x^2 = 10x + 24
jazzyfa30
 2 years ago
Solve the equation by using the Square Root Property. x^2 = 10x + 24

This Question is Closed

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2ok, so \(x^210x=24\) the coefficient of 'x' here is 10 divide it by 2 and square the result, what u get ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2***the coefficient of 'x' here is 10

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1so it would be x^25x=24

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2no no.. the coefficient of x is 10, right ? divide it by 2, you get 5, but then square it, \(\large (5)^2=...?\)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2umm...noo...how u got thta ?

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1i squared 5 isnt that what i was supposed to do

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1oh i thought i was supposed to square root it not square my b now what

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2ohh...u took square root...we are supposed to square..

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2ok, we add 25 on both sides \(x^210x+25=24+25\) notice that left side is a perfect square! of ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.249 is right side, and is the square of 7 what about left side ? x^210x+25 is squaree of ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\((x5)^2 =... ?\) can u find ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2nopes, \((a+b)^2=a^2+2ab+b^2\) so, \((x5)^2 =x^210x+25\) so here we have \((x5)^2=7^2\) take square root on both sides!

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2did u take square root on both sides ? what u got ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\((x5)^2=7^2 \implies x5 = \pm 7 \\ x5 =7 \quad \quad x5=7\) get 2 values of 'x' from here!

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1but 7 isnt apart of any of my answer choices

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2u need to solve x5 =7 x5 = 7

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1ok Solve the equation by completing the square: x2  8x + 15 = 0

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2same thing, here, the coefficient of x is 8 divide it by 2, what u get ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2yes, then square it...what u get ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2so, adding 16 on both sides... \(x^28x+16=15+16\)

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1right side:1 left side: idk

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1i think its x^24x2x=1

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1@GoldPhenoix please help

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2\(x^28x+16 = (x4)^2\) so, we have \((x4)^2=1\) just take square root on both sides!

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2when you take square root, the square part goes away! (x+4) =+1 or x4 =1 find 2 values of x from here...

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1a. x = + 5 b. x =3 or x = 5 c. x =3 or x = 5 d. x =3 or x =5

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2x4 = 1 , x = 1+4 = 3 is correct but for 2nd part, you get x4 =1 x= 1+4 = 5

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1Solve the equation by completing the square: x^2 + 2x = 120

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know how to complete the square? :)

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0I see. Here's an example:\[\Large x^2 + \color{red}6x =40 \]

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0What you do is take that coefficient (number beside) the x with NO EXPONENT. In our case, 6.

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Take half of it, 3, and then square it, getting 9.

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Now, add that to BOTH SIDES of the equation. \[\Large x^2 +\color{red}6x\color{blue}{+9}=40\color{blue}{+9}\]

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Simplify. \[\Large x^2+\color{red}6x+9=49\]

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0You'll notice that the left side is now what you call a 'perfect square trinomial' It may be expressed as... \[\Large (x+\color{red}3)^2=49\]

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Notice of course, that 3 is half of the original coefficient of x, which was 6. Now take the square root of both sides: \[\Large \sqrt{(x+3)^2}=\sqrt{49}\] Notice that the square root and the square (exponent 2) cancel out. But the square root of 49 may be either positive or negative 7. \[\Large x+3=\pm7\] Bring the 3 to the other side, you now get \[\Large x = 3\pm7\] which means either x = 3 + 7 = 4 or x = 3  7 = 10 Case Closed :)

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0So... go ahead now, get started with your own problem, using the same concepts. I'll walk you through it if you like :)

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1u on skype or call me at 8039376271 cus by u typing it it is confusing m please

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0I don't have skype. come on, we can do this... I'll get you started... \[\Large x^2 +\color{red}2x = 120\]

jazzyfa30
 2 years ago
Best ResponseYou've already chosen the best response.1then call me i dont understand
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