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28 December, 09:25

Solve 9x2 12x - 24 = 0 using the quadratic formula.

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  1. 28 December, 13:13
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    X = about 1 or x = about - 2

    9x^2 + 12x - 24 is standard form: ax^2 + bx + c

    quadratic formula: x = (-b ± √ (b^2 - 4ac)) / 2a

    x = - 12 ± √ (12^2 - 4 (9) (-24)) / 2 (9)

    x = - 12 ± √ (144 - (-864) / 18

    x = - 12 ± √ (144 + 864) / 18

    x = - 12 ± √ (1008) / 18

    x = - 12 ± √ (1008) / 18

    x = - 2 ± 2√7/3

    x = - 2 + 2√7/3 or x = - 2 - 2√7/3

    x = 1.0971675407097272 or x = - 2.4305008740430605
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