Question

Solve the equation by completing the square. x²+6x-4=0​

Answer 1

x = √13 - 3

x = -√13 - 3

Explanation:

Given :

• x² + 6x - 4 = 0

Solving :

• x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
• (x + 3)² - 13 = 0 [Group the square term together]
• (x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
• √(x + 3)² = √13 [Taking square root on both sides]
• x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
• x = ±√13 - 3

Solutions :

1. x = √13 - 3
2. x = -√13 - 3