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6 January, 05:59

Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0, where a, b, and c are integers (no fractions).

Solutions: - 5/9, 8/9

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  1. 6 January, 06:17
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    81x^2 - 27x - 40 = 0

    Step-by-step explanation:

    When a/b is a root of the equation, one factor of the equation might be ...

    (bx - a)

    Hence the factored form of the equation you seek might be ...

    (9x + 5) (9x - 8) = 0

    and the standard form will be that product multiplied out:

    81x^2 - 27x - 40 = 0
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