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15 March, 19:08

Solve this quadratic equation by completing the square.

x² + 8x = 10

A. X=-4 + / 26

B. x = - 8 + / 26

C. X = - 8 + / 10

D. x = - 4 + / 10

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Answers (1)
  1. 15 March, 19:23
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    A. x = - 4 + / -√26.

    Step-by-step explanation:

    x^2 + 8x = 10

    using the completing the square identity:

    x^2 + ax = (x + a/2) ^2 - (a/2) ^2:

    (x + 4) ^2 - 4^2 = 10

    (x + 4) ^2 = 26

    x + 4 = ± √26

    x = - 4 + / -√26.
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