Question

Solve for x:


`√(x-3) =√(x) +3`


A. -2

B. 2

C. no solution

D. 4

Answer 1

Answer: The answer is C: No solution

Explanation:

By squaring the other side (to therefor remove the square off X) you get
`x-3=x+6√(x) +9`

You then cancel out the equal terms, in this case x, to reach the equation:

`-3=6√(x) +9`

This equation, has no solution, as the left side is always negative, and the right side will always be positive, making any statement for x false.