Question

Solve by completing the square: -14 + x^2 = 5x

Answer 1

Answer:

• x = 7, x = -2

Step-by-step explanation:

Solving by completing square

• -14 + x^2 = 5x
• x^2 - 5x - 14 = 0
• x^2 -2*2.5x + 6.25 - 20.25 = 0
• (x -2.5)^2 = 20.25
• (x - 2.5)^2 = 4.5^2

1. x - 2.5 = 4.5 ⇒ x = 7
2. x - 2.5 = -4.5 ⇒ x = -2