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

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

hartnnBest ResponseYou've already chosen the best response.2
***the coefficient of 'x' here is 10
 9 months ago

jazzyfa30Best ResponseYou've already chosen the best response.1
so it would be x^25x=24
 9 months ago

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

hartnnBest ResponseYou've already chosen the best response.2
umm...noo...how u got thta ?
 9 months ago

jazzyfa30Best ResponseYou've already chosen the best response.1
i squared 5 isnt that what i was supposed to do
 9 months ago

jazzyfa30Best ResponseYou've already chosen the best response.1
oh i thought i was supposed to square root it not square my b now what
 9 months ago

hartnnBest ResponseYou've already chosen the best response.2
ohh...u took square root...we are supposed to square..
 9 months ago

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

hartnnBest ResponseYou've already chosen the best response.2
49 is right side, and is the square of 7 what about left side ? x^210x+25 is squaree of ?
 9 months ago

hartnnBest ResponseYou've already chosen the best response.2
\((x5)^2 =... ?\) can u find ?
 9 months ago

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

hartnnBest ResponseYou've already chosen the best response.2
did u take square root on both sides ? what u got ?
 9 months ago

hartnnBest 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!
 9 months ago

jazzyfa30Best ResponseYou've already chosen the best response.1
but 7 isnt apart of any of my answer choices
 9 months ago

hartnnBest ResponseYou've already chosen the best response.2
u need to solve x5 =7 x5 = 7
 9 months ago

jazzyfa30Best ResponseYou've already chosen the best response.1
ok Solve the equation by completing the square: x2  8x + 15 = 0
 9 months ago

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

hartnnBest ResponseYou've already chosen the best response.2
yes, then square it...what u get ?
 9 months ago

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

jazzyfa30Best ResponseYou've already chosen the best response.1
right side:1 left side: idk
 9 months ago

jazzyfa30Best ResponseYou've already chosen the best response.1
i think its x^24x2x=1
 9 months ago

jazzyfa30Best ResponseYou've already chosen the best response.1
@GoldPhenoix please help
 9 months ago

hartnnBest 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!
 9 months ago

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

jazzyfa30Best ResponseYou've already chosen the best response.1
a. x = + 5 b. x =3 or x = 5 c. x =3 or x = 5 d. x =3 or x =5
 9 months ago

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

jazzyfa30Best ResponseYou've already chosen the best response.1
Solve the equation by completing the square: x^2 + 2x = 120
 9 months ago

terenzreignzBest ResponseYou've already chosen the best response.0
Do you know how to complete the square? :)
 9 months ago

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

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

terenzreignzBest ResponseYou've already chosen the best response.0
Take half of it, 3, and then square it, getting 9.
 9 months ago

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

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

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

terenzreignzBest ResponseYou've already chosen the best response.0
Notice 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 :)
 9 months ago

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

jazzyfa30Best ResponseYou've already chosen the best response.1
u on skype or call me at 8039376271 cus by u typing it it is confusing m please
 9 months ago

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

jazzyfa30Best ResponseYou've already chosen the best response.1
then call me i dont understand
 9 months ago
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