Question

Rewrite the equation by completing the square.
x^2 + 7x + 12 = 0

Answer 1

Answer:

x^2 + 7x + 12 = 0

x^2 + 7x  = -12

(+3)(+4)=0

=−3

=−4

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Answer 2

Answer:

(x + $\frac{7}{2}$ )² - $\frac{1}{4}$ = 0

Step-by-step explanation:

Given

x² + 7x + 12 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 7x

x² + 2($\frac{7}{2}$ )x + $\frac{49}{4}$ - $\frac{49}{4}$ + 12 = 0

(x + $\frac{7}{2}$ )² - $\frac{49}{4}$ + $\frac{48}{4}$ = 0 , that is

(x + $\frac{7}{2}$ )² - $\frac{1}{4}$ = 0