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29 October, 15:12

Solve for x in the equation x^2+10x+12=36.

A. x = - 12 or x = 2

B. x = - 11 or x = 1

C. x = - 2 or x = 12

D. x = - 1 or x = 11

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Answers (1)
  1. 29 October, 15:56
    0
    Solve for x:

    x^2 + 10 x + 12 = 36

    36 = 36:

    x^2 + 10 x + 12 = 36

    Subtract 12 from both sides:

    x^2 + 10 x = 24

    Add 25 to both sides:

    x^2 + 10 x + 25 = 49

    Write the left hand side as a square:

    (x + 5) ^2 = 49

    Take the square root of both sides:

    x + 5 = 7 or x + 5 = - 7

    Subtract 5 from both sides:

    x = 2 or x + 5 = - 7

    Subtract 5 from both sides:

    Answer: x = 2 or x = - 12 Thus the Answer is A.
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