what is the value of c such that x^2-20x+c is a perfect-square trinomial?

Question

what is the value of c such that x^2-20x+c is a perfect-square trinomial?

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Claire 2 weeks 2021-10-13T04:55:48+00:00 2 Answers 0

Answers ( )

    0
    2021-10-13T04:56:55+00:00

    Answer:

    c=100

    Step-by-step explanation:

    To complete the square, it would really help if the coefficient of x^2 is 1 which is so formula for c in this case is just (b/2)^2

    So (-20/2)^2

    simplifying gives

    (-10)^2

    100

    c=100

    0
    2021-10-13T04:57:27+00:00

    Answer:

    100

    Step-by-step explanation:

    The question is on making the equation a perfect square

    Given ;

    x^2 - 20x + c

    To get c;

    c=(\frac{b}{2} )^2

    where ;

    b= -20

    c= (\frac{-20}{2} )^2 = 10^2 = 100

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