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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 = 12​

Sagot :

MrRoyal

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

How to determine the intermediate step?

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

Read more about completing the square at:

https://brainly.com/question/10449635

#SPJ1

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