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Science & Mathematics by Anonymous 2018-05-18 12:07:25
Social Science
Complete the square?
4 answers
f(x) = 3x^2 + 15x − 18
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Anonymous
(1/3)f(x) = x^2 + 5x - 6 = x^2 + 5x + 25/4 -25/4 - 27/4 = (x+ 5/2)^2 - (7/2)^2 = 3(x+5/2)^2 - 3(49/4) = 3(x + 5/2)^2 - 147/4.
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Anonymous
f(x) = 3x^2 + 15x − 18 f(x) = 3(x^2 + 5x − 6) f(x) = 3x^2 + 15x − 18 3 ( x + 5/2)² - 147 / 4 = f(x) 3 (x - 1) (x + 6) = f(x)
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Anonymous
3x^2+15x-18 = 3[x^2+5x-6] = 3[(x+5/2)^2-25/4-6] = 3(x+5/2+7/2)(x+5/2-7/2) = 3(x+6)(x-1)
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Anonymous
f(x) = 3x^2 + 15x − 18 3 (x - 1) (x + 6) = f(x)