Which quadratic equation is equivalent to (x + 2)² + 5(x + 2) - 6 = 0?

Solution:

An equation of the form ax² + bx + c = 0, where a ≠ 0 is called a quadratic equation.

(x + 2)² + 5(x + 2) - 6 = 0

x² + 2(x)(2) + 4 + [5x + 10] - 6 = 0

x² + 4x + 4 + 5x + 10 - 6 = 0

x² + (4 + 5)x + (10 - 6 + 4) = 0

x² + 9x + 8 = 0

Thus, x² + 9x + 8 = 0 is the equivalent quadratic equation to (x + 2)² + 5(x + 2) - 6 = 0.

Which quadratic equation is equivalent to (x + 2)² + 5(x + 2) - 6 = 0?

Summary:

x² + 9x + 8 = 0 is the equivalent quadratic equation to (x + 2)² + 5(x + 2) - 6 = 0.