SOLUTION: the square root of x-4 - the square root of x+8 =2

Algebra.Com
Question 131441: the square root of x-4 - the square root of x+8 =2
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
sqrt(x-4)-sqrt(x+8)=2
sqrt(x-4)-2=sqrt(x+8)
x-4-4sqrt(x-4)+4=x+8 square both sides.
-4sqrt(x-4)=8
(-4sqrt(x-4))^2=8^2
16(x-4)=64
16x-64=64
16x=128
x=8
.
Check:
sqrt(8-4)-sqrt(8+8)=2
2-4=2 False
There is no answer to this equation.
.
Ed


RELATED QUESTIONS

how to solve the square root of x+4= the square root of x plus the square root of... (answered by jsmallt9)
Please simplify. 4 x the square root of -3 + 2 x the square root of... (answered by stanbon)
The Square Root of... (answered by oscargut,Fombitz)
3 times the square root of 8 x 2 times the square root of... (answered by edjones)
square root of x+7=square root of 2x-3 (+2) not under the square... (answered by lynnlo)
Square root of... (answered by unlockmath)
solve the (square root of... (answered by haileytucki,ovie27)
square root of x times the square root of x (answered by stanbon)
the square root of... (answered by jim_thompson5910,checkley77)