Give the values of A, B, and C needed to write the equation’s general form. (5 + x)(5 – x) = 7 1. A = 1; B = 0; C = -18

Question

Give the values of A, B, and C needed to write the equation’s general form.
(5 + x)(5 – x) = 7

1. A = 1; B = 0; C = -18
2. A= -1; B = 0; C = 25
3. A = 25; B = 0; C = -1

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Thanh Hà 4 years 2021-08-09T12:23:34+00:00 1 Answers 9 views 0

Answers ( )

  1. Dulcie
    0
    2021-08-09T12:24:50+00:00
    Reply

    Given:

    The equation is:

    (5+x)(5-x)=7

    To find:

    The value of A, B and C for the equation’s general form.

    Solution:

    We have,

    (5+x)(5-x)=7

    Using distribution property, we get

    (5)(5)+(5)(-x)+(x)(5)+(x)(-x)=7

    25-5x+5x-x^2=7

    25-x^2=7

    Taking all terms on one side, we get

    25-x^2-7=0

    -x^2+18=0

    -(x^2-18)=0

    x^2-18=0

    On comparing this equation with the general form of a quadratic equation Ax^2+Bx+C=0, we get

    A=1

    B=0

    C=-18

    Therefore, the correct option is 1.

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