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28 May, 11:20

The roots of a certain quadratic equation is 1 and 2/3. Determine the equation

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  1. 28 May, 13:31
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    Answer:3x^2-5x+2=0

    Step-by-step explanation:

    Format of a quadratic equation = ax^2 + bx+c

    Let x=1 and 2/3

    When x=1

    x-1=0 ... (1)

    When x=2/3

    x-2/3=0 ... (2)

    Compare the equations

    (x-1) (x-2/3) = 0

    x^2-2/3x-x+2/3=0

    x^2-5/3x+2/3=0

    Multiply all terms by 3

    3x^2-5x+2=0
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