Solve for X please √(18 + x) = x - 2 ​

Question

Solve for X please


`√(18 + x) = x - 2`
​

Answer 1

{-2, 7}

Explanation:

Square both sides of this equation. We get:

18 + x = x^2 - 4x + 4, which, in turn, simplifies to

x^2 - 5x - 14 = 0.

Note that 2 - 7 = -5 and that 2(-7) = -14.

Then x^2 - 5x - 14 = 0 => (x -7)(x + 2) = 0, which gives us the solutions -2 and 7.