Solve the equation. Check all proposed solutions. Show work in solving and in checking.
√(x+7) = x + 5 (Add 5 to both sides)
(√(x+7))2 = (x + 5)2 (Square both sides of the equation)
x+7 = x2 + 10x + 25 (Multiply out the squares)
0 = x2 + 9x +18 (Combine like terms into a quadratic equation)
0 = (x+6)(x+3) (Factor the quadratic)
x= -6, -3
Check by plugging -3 and -6 into the original equation One of the solutions works, one doesn't.