Question

Solve 2x² + 4x - 8=0 by the method of completing the square.

Answer 1

I hope this will help u..

Answer 2

Answer

• x = - 1 ± √5

Given

• 2x² + 4x - 8

To Find

• x

Solution

2x² + 4x - 8 = 0

⇒ x² + 2x - 4 = 0

⇒ x² + 2x = 4

Use the method of completing square

⇒ x² + 2x + 1 = 4 + 1 [ ∵ Adding 1 on both sides ]

⇒ ( x + 1 )² = 5

⇒ x + 1 = ± √5

⇒ x = -1 ± √5