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Solve x2 + 12x = –20 by completing the square. Add to both sides of the equation. The value of in this equation is . Write the left side of the equation as a binomial squared. The left side of the equation becomes ()2. Use the square root property of equality. Isolate the variable: x =

2 Answers

3 votes
x2+12x=-20 /-12x
x2=-20-12x /÷2 from the x2
x=-10-6x
User Ratchet Freak
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7.4k points
2 votes
x^2 +12x = -20
take the coefficient of X
divide it by 2
square that number
then add it to both sides of the equation.
12 / 2 = 6
6^2 = 36

x^2 +12x +36 = 16
(X+6) * (X+6) = 4*4
X+6 = 4 X= -2
X+6 = -4 X= -10
User Sam Borick
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7.3k points