Question

What number must you add to complete the square x2 + 12x = -3

Answer 1

What number must you add to complete the square x^2 + 12x = -3?

Make sure to always check your answers, by the way!

The answer is: (x + 6)² - 33


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~ Zoe

Answer 2

We must add number 36 to complete the square.

Explanation:

Given : x² + 12x = -3.

To find : What number must you add to complete the square.

Solution : We have given that

x² + 12x = -3.

Step 1) On multiplying and divide by 2 the term 12 x

x² + 2 *
`(12)/(2)`x = -3.

x² + 2 * 6x = -3.

Step 2 ) Now add and subtracting square of 6 on left side.

x² + 2 * 6x + 6² - 6² = -3.

x² + 2 * 6x + 6² - 36 = -3.

We can see first three terms are complete square

(x + 6 )² - 36 = -3 .

On adding both side by 36

(x + 6 )² = - 3 + 36

(x + 6 )² = 33.

Therefore, We must add number 36 to complete the square.