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Help on quadratic equations! Solve 3x^2 + 18x + 15 = 0 by completing the square. 3(x + 3)2 = 6; x = −3 + sqrt2, x = −3 − sqrt2 3(x + 9)2 = 12; x = −11, x = −7 3(x + 3)2 = 12; x = −5, x = −1 3(x + 9)2 = 228; x = −9 + sqrt 76, x = −9 − sqrt 76
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I did it, but I got something wrong. Here is my work:
HI!!
Find the GCF of all 3 numbers first.
divide by 3 first
3x^2 + 18x + 15 = 0 (3x^2 + 18x) + 15 = 0 3(x^2 + 6x) + 15 = 0 3(x^2 + 6x + 9) + 15 = 0 Then, to make it equal: 3(x^2 + 6x + 9) + 15 - 3(9) = 0 3(x^2 + 6x + 9) -12 = 0 3(x+3)^2 - 12 = 0 +12 +12 3(x+3) = 12 Divide 3 on both sides --> x + 3 = 4
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