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Form a quadratic equation in x whose roots are -3 and 1/4.

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2 answers

  1. For quadratic equation:

    a x² + b x + c = a ( x - x1 ) ( x - x2 )

    where x1 and x2 are roots

    In this case x1 = - 3 , y = 1 / 4

    a x² + b x + c = a [ x - ( - 3 ) ] ( x - 1 / 4 ) =

    a ( x + 3 ) ( x - 1 / 4 ) = a ( x² + 3 x - 1 / 4 x - 3 / 4 ) =

    a ( x² + 12 / 4 x - 1 / 4 x - 3 / 4 ) = a ( x² + 11 / 4 x - 3 / 4 )

    where a is some real number ( leading coefficient of quadratic equation )

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  2. since you don't specify any particular form, just use the roots directly
    (x+3)(4x-1) = 0
    You can massage that as you will.

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