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23 October, 18:03

What is the solution set for - a^2 = 81-18a

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Answers (2)
  1. 23 October, 19:20
    0
    Step-by-step explanation:

    -a^2 = 81-18a

    a^2 - 18a + 81 = 0

    a^2 - 9a - 9a + 81 = 0

    (a^2 - 9a) - (9a - 81) = 0

    a (a - 9) - 9 (a - 9) = 0

    (a - 9) (a - 9) = 0

    a - 9 = 0 or a - 9 = 0

    a = 9 or a = 9
  2. 23 October, 19:51
    0
    a = 9

    Step-by-step explanation:

    -a^2 = 81 - 18a = 0

    Rearranging the equation becomes:

    a^2 - 18a + 81 = 0

    Solving the quadratic equation:

    a^2 - 9a - 9a + 81 = 0

    a (a - 9) - 9 (a - 9) = 0

    (a - 9) (a-9) = 0

    Theresfore,

    a = + 9

    a = 9
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