Question

Solve the equation

2x^2 + 8x - 1 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Answer 1

Explanation:

2x² + 8x - 1 = 0

2(x + 2)² - 9 = 0

2(x + 2)² = 9

(x + 2)² = 4.5

x = √4.5 - 2 or x = -√4.5 - 2

x = 0.12 or x = -4.12.