Question

Given the equation: x^2-12=-15

By using the equation editor or uploading a picture, rewrite the equation in the form:
(x-h)^2=k

Answer 1

(x - 6)² = 21

Explanation:

x² - 12x = - 15

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 15 + 36

(x - 6)² = 21

Answer 2

Given :-

• A equation x² - 12x = -15

To Find :-

• To write the equation in the form of (x-h)² = k .

Solution :-

The given equation to us is ,

`\sf\longrightarrow` x² - 12x = -15

Now for completing the square ,

`\sf\longrightarrow` x² -2(6)(x) = -15

`\sf\longrightarrow` x² - 2(6)(x) + 6² = 6² - 15

`\sf\longrightarrow` (x -6)² = 6² - 15

`\sf\longrightarrow` (x -6)² = 36 -15

`\sf\longrightarrow` (x - 6)² = 21

Hence the required answer is (x-6)² = 21.