payan95
payan95 payan95
  • 12-06-2019
  • Mathematics
contestada

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

What number must you add to complete the square x2 12x 16 class=

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chrishan0904
chrishan0904 chrishan0904
  • 12-06-2019

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.

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 12-06-2019

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.

Answer Link

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