Solve for x.

x+3=sqrt4x+-17

x = 2

Step-by-step 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.