Question

Solving Quadratic Equations What are the solution x^(2)+6x+9=5?

Answer 1

x = - 3 ±
`√(5)`

Explanation:

x² + 6x + 9 = 5 ( subtract 9 from both sides )

x² + 6x = - 4

using the method of completing the square to solve

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 4 + 9

(x + 3)² = 5 ( take square root of both sides )

x + 3 = ±
`√(5)` ( subtract 3 from both sides )

x = - 3 ±
`√(5)`

solutions are x = - 3 -
`√(5)` , x = - 3 +
`√(5)`