SOLUTION: Solve for x. Square root of (x-6) -3 = Square root of x How do you get rid of the square roots? I tried squaring everything and that did not work x-6+9=x ?

Algebra ->  Trigonometry-basics -> SOLUTION: Solve for x. Square root of (x-6) -3 = Square root of x How do you get rid of the square roots? I tried squaring everything and that did not work x-6+9=x ?       Log On


   

Question 927212: Solve for x.
Square root of (x-6) -3 = Square root of x
How do you get rid of the square roots? I tried squaring everything and that did not work
x-6+9=x ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
OK, add three to both sides first.
sqrt%28x-6%29=x%2B3
Now square both sides,
x-6=x%5E2%2B6x%2B9
x%5E2%2B5x%2B15=0
x%5E2%2B5x%2B%2825%2F4%29%2B15=25%2F4
x%5E2%2B5x%2B25%2F4=25%2F4-60%2F4
%28x%2B5%2F2%29%5E2=-35%2F4
There are no real solutions for this problem.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csqrt%28x-6%29%2Cx%2B3%29