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26 August, 21:40

Solve the equation by completing the square. x^2 - 2x = 15

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  1. 26 August, 21:59
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    x = - 3 or x = 5

    Step-by-step explanation:

    Solve: x^2 - 2x = 15

    x^2 - 2x - 15 = 0

    Use the Diamond method of factoring

    -15 = 3 * - 5 and 3 - 5 = - 2 so ...

    x^2 - 2x - 15 = x^2 - 5x + 3x - 15

    x^2 - 2x - 15 = x * (x - 5) + 3 * (x - 5)

    x^2 - 2x - 15 = (x + 3) * (x - 5)

    x^2 - 2x - 15 = (x + 3) * (x - 5) = 0

    solve (x + 3) = 0 and (x - 5) = 0

    x = - 3 or x = 5
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