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13 March, 16:14

Solve the following equation by transforming it into a perfect square trinomial.

x² - 14x = 15

{-22, 36}

{57, 71}

{-1, 15}

{-15, 29}

+1
Answers (1)
  1. 13 March, 16:30
    0
    X^2 - 14 x = 15

    (x - 7) ^2 - 49 = 15

    (x-7) ^2 = 64

    x - 7 = - or + 8

    x = 15 or - 1

    Just take half o the coefficient of x and subtract it squared as above.

    In general

    x^2 + ax = b

    (x + a/2) ^2 - a^2/4 = b
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