What are the solutions to the quadratic equation 4(x + 2)² = 36

Solution:

The given quadratic equation is

4(x + 2)² = 36

Using (a + b)² = a² + b² + 2ab

4 (x² + 4 + 4x) = 36

Divide both sides by 4

x² + 4 + 4x = 9

x² + 4 - 9 + 4x = 0

x² - 5 + 4x = 0

It can be written as

x² + 4x - 5 = 0

x² + 5x - 1x - 5 = 0

x (x + 5) - 1 (x + 5) = 0

(x + 5) (x - 1) = 0

So we get

x = -5 or x = 1

Therefore, the solutions to the quadratic equation is x = -5 or x = 1.

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What are the solutions to the quadratic equation 4(x + 2)² = 36

Summary:

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 or x = 1.