What number must you add to complete the square?
x^2 + 12x = 16
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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.
ANSWER
B. 36
EXPLANATION
The given quadratic expression is:
[tex] {x}^{2} + 12x = 16[/tex]
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.