SOLUTION: Solve the equation by extracting square roots: (x +5)^2 = (x + 4)^2 My answer is x = -9/2 and I am not sure it is correct. I squared both sides and then used x-5 on each sid

Question 70794: Solve the equation by extracting square roots:
(x +5)^2 = (x + 4)^2
My answer is x = -9/2 and I am not sure it is correct. I squared both sides and then used x-5 on each side of the equation and -x-4.
left side was 2x = -9 then I divided 2 into each side leaving x = -9/2. Is this the correct way to complete this equation? and is this the correct answer/
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
(x+5)^2=(x+4)^2 squaring both sides
x^2+10x+25=x^2+8x+16 now combine like terms
x^2+x^2+10x-8x=16-25 reduce
2x=-9
x=-9/2
x=-4.5

RELATED QUESTIONS
Solve this quadratic equation by Extracting square roots: 1. 1=1/3x^2 and 2.... (answered by oscargut)

I am supposed to solve for x, but I'm not sure if my answer is correct... When I solved... (answered by Alan3354)

Hi, I am having problems trying to solve 2math problems. I have to solve by extracting... (answered by Cromlix)

solving quadratic equations by extracting square roots. (x-2/5)^2=49/25 is the problem... (answered by Earlsdon)

1)Find the inverse of the function f(x)=8x+16 This is my answer and I am not sure if... (answered by stanbon)

Good morning! Today I will have a test and I am in trouble with this problem. I... (answered by Fombitz)

I tried to solve this problem but I am not sure about my answer. The thing is, I solved... (answered by fractalier)

Solve by completing the square. x^2 -14x +49 = 0 I came up with the answer of 7, 7 for... (answered by checkley75)

Solve by extracting square roots. List exact and decimal solution rounded to 2 decimal... (answered by MathLover1)