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20 February, 15:45

Which is a solution to (x - 2) (x + 10) = 13?

x = 3

x = 8

x = 10

x = 11

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Answers (1)
  1. 20 February, 16:46
    0
    1. expand the equation

    x^2 + 10x - 2x - 20 = 13

    2. Collect like terms

    x^2 + 8x - 20 = 13

    3. Simplify

    x^2 + 8x = 13 + 20

    x^2 + 8x = 33

    x^2 = 33 - 8x

    4. Substitute answers for guess and check

    3^2 = 33 - (8 x 3)

    9 = 33 - 24

    This equation is correct therefore x = 3
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