Math

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Write a quadratic equation having the given numbers as solutions.

-5 and -2

The quadratic equation is: __=0

Thank you.

  • Math -

    a x ^ 2 + b x + c = a ( x - x1 ) ( x - x2 )


    a leading coefficient

    x1 and x2 roots


    In this case :

    x 1 = - 5

    x 2 = -

    a [ x - ( - 5 ) ] * [ x - ( - 2 ) ] =

    a ( x + 5 ) * ( x + 2 ) =

    a ( x * x + x * 5 + 2 * x + 2 * 5 ) =

    a ( x ^ 2 + 5 x + 2 x + 10 ) =

    a ( x ^ 2 + 7 x + 10 )



    a ( x ^ 2 + 7 x + 10 ) = 0 Divide both sides by a

    x ^ 2 + 7 x + 10 = 0 / a

    x ^ 2 + 7 x + 10 = 0

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