What number must you add to complete the square? x^2 + 12x = 16

Mathematics

2 answers:

dmitriy555 [2]3 years ago

7 0

Answer: B. 36

The complete square is (x+6)^2. It's missing the third term, which is 36 because 6 x 6 is 36.

Evgen [1.6K]3 years ago

5 0

ANSWER

B. 36

EXPLANATION

The given quadratic expression is:

${x}^{2} + 12x = 16$

To complete the square we add the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

The square of 6 is 36.

Therefore we add 36 to both sides of the equation to complete the square.

The correct answer is B.

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