Solve x² + 8x - 3 = 0 using the completing-the-square method.

Solution:

Given x² + 8x - 3 = 0

In completing the square method, we need to add (b/2)² on both sides

Here a = 1, b = 8 and c = -3

(b/2)² = (8/2)² = 4² = 16

x² + 8x +16 = 3 + 16

x² + 8x + 16 = 19

x² + 2(x)(4) + 4² = {√19}²

(x + 4)² = {√19}²

Applying square root on both sides

x + 4 = ±√19

x = -4 ± √19

Solve x² + 8x - 3 = 0 using the completing-the-square method.

Summary:

By solving x² + 8x - 3 = 0 using the completing-the-square method, we got solution as x = -4 ± √19.