Add 5 5 to both sides of the equation. √ 2 x + 13 = x + 5 2 x + 13 = x + 5 To remove the radical on the left side of the equation, square both sides of the equation. ( √ 2 x + 13 ) 2 = ( x + 5 ) 2 ( 2 x + 13 ) 2 = ( x + 5 ) 2 Simplify each side of the equation.
2 x + 13 = x 2 + 10 x + 25 2 x + 13 = x 2 + 10 x + 25 Solve for x x .
x = − 2 , − 6 x = - 2 , - 6 Exclude the solutions that do not make √ 2 x + 13 − 5 = x 2 x + 13 - 5 = x true. x = − 2