SOLUTION: Solve the radical equation. Section 10.6. 34.) √(x+2) + √(3x+7) = 1 Can someone please help me? I am looking to see the steps on how to solve this equation.

Algebra ->  Radicals -> SOLUTION: Solve the radical equation. Section 10.6. 34.) √(x+2) + √(3x+7) = 1 Can someone please help me? I am looking to see the steps on how to solve this equation.       Log On


   

Question 358682: Solve the radical equation. Section 10.6.
34.) √(x+2) + √(3x+7) = 1

Can someone please help me? I am looking to see the steps on how to solve this equation. Any help is appreciated. ;o)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B2%29%2Bsqrt%283x%2B7%29=1
sqrt%28x%2B2%29=1-sqrt%283x%2B7%29
Square both sides,
x%2B2=1-2%2Asqrt%283x%2B7%29%2B%283x%2B7%29
x%2B2=2%2Asqrt%283x%2B7%29%2B%283x%2B8%29
2%2Asqrt%283x%2B7%29=-2x-6
4%283x%2B7%29=4x%5E2%2B24x%2B36
12x%2B28=4x%5E2%2B24x%2B36
4x%5E2%2B12x%2B8=0
x%5E2%2B3x%2B2=0
%28x%2B1%29%28x%2B2%29=0
Two solutions:
x%2B1=0
highlight%28x=-1%29
.
.
.
x%2B2=0
highlight%28x=-2%29
.
.
.
Verify that both solutions do indeed solve the equation.