SOLUTION: square root of (3x+3)+ square root of (x+2)= 5, solve for x. The answer is 2, need the steps for the answer.

Question 242198: square root of (3x+3)+ square root of (x+2)= 5, solve for x. The answer is 2, need the steps for the answer.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
sqrt(3x+3)+sqrt(x+2)=5
sqrt(3x+3)=5-sqrt(x+2)
3x+3=x+27-10sqrt(x+2) Square each side.
2x-24=-10sqrt(x+2)
4x^2-96x+576=100x+200 square each side.
4x^2-196x+376=0
4(x^2-49x+94)=0
(x-47)(x-2)=0
x=2 is the only answer. x=47 is extraneous.
.
Ed
RELATED QUESTIONS
Solve the square root of 3x + 2 = 3 for... (answered by caet)

the square root of 2x-5 = 2+ the square root of x-2 solve for... (answered by lynnlo,MathTherapy)

Please show me how to rationalize the denominator for these questions: a^2/square root... (answered by lynnlo)

I've been working on this for awhile. It seems like I'm close, but I'm missing... (answered by Alan3354)

what is the answer for this problem? the square root of 2 plus 3 plus the square root of... (answered by jim_thompson5910)

Please help! (2 x the square root of 3x - the square root of 5)(2 x the square root of 3x (answered by rapaljer)

Solve The square root of x+1, Under the square root of 3=the square root of... (answered by edjones)

X=-2(+OR-) the SQUARE ROOT OF -4 what are the steps to get the... (answered by erica65404)

What is the answer to this problem: square root 20 x 3 square root 6 x square root... (answered by edjones)