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22 October, 22:39

19)

Solve the quadratic equation x2 - 18x + 81 = 64 for x.

A)

x = 17 or x = 1

B)

x = 11 or x = - 5

C)

x = 9 or x = - 8

D)

x = 2 or x = 9

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Answers (2)
  1. 22 October, 23:33
    0
    A.) x=17 or x=1
  2. 23 October, 00:15
    0
    {1, 17}

    Step-by-step explanation:

    x2 - 18x + 81 = 64 can be rewritten as x² - 18x + 81 = 64.

    Next, x² - 18x + 81 can be rewritten as (x - 9) ²

    so that we now have:

    (x - 9) ² = 64.

    Taking the sqrt of both sides, we get

    x - 9 = ± 8

    Then one root is x = 9 + 8 = 17, and the other is x = 9 - 8 = 1.

    {1, 17} is the set of roots
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