What is the intermediate step in the form (x + a)2 = b as a result of completing the square for the following equation? x² + 4x

Question

1 year ago

11

= 12

1 answer:

Goryan [66] · Answer 1 · 2023-08-02T15:15:56+03:00

The equation in the form (x + a)² = b is (x + 2)² = 16

<h3>How to determine the intermediate step?</h3>

The equation is given as:

x² + 4x = 12

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)² = 4

Add this result to both sides of x² + 4x = 12

x² + 4x + 4 = 12 + 4

Evaluate the sum

x² + 4x + 4 = 16

Express as a perfect square

(x + 2)² = 16

Hence, the equation in the form (x + a)² = b is (x + 2)² = 16

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