Algebra-2

To solve the equation x² + 6x - 4 = 36 by completing the square, we start by moving the constant term to the right side of the equation:

x² + 6x = 40

Next, we take half the coefficient of the x-term, which is 6, and square it to obtain 9. We add 9 to both sides of the equation:

x² + 6x + 9 = 40 + 9

This simplifies to:

(x + 3)² = 49

Taking the square root of both sides, we get:

x + 3 = ±