Question

Solve for x.

x+3=sqrt4x+-17

Answer 1

x = 2

Explanation:

x + 3 = √(4x + 17)

x² + 6x + 9 = 4x + 17

x² + 2x − 8 = 0

(x + 4) (x − 2) = 0

x = 2 or -4

Check for extraneous solutions.

2 + 3 = √(4(2) + 17)

-4 + 3 ≠ √(4(-4) + 17)

x = -4 is not a solution. So x = 2.