x^2-18x+67=0 Solve the quadratic equation by completing the square.

Question

x^2-18x+67=0 Solve the quadratic equation by completing the square.

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Vivian 6 days 2021-10-14T03:47:33+00:00 1 Answer 0

Answers ( )

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    2021-10-14T03:48:56+00:00

    Answer:

    x = 9 ± √14

    Step-by-step explanation:

    x² − 18x + 67 = 0

    Move the constant to the other side:

    x² − 18x = -67

    Take half of -18, square it, and add to both sides.

    (-18/2)² = (-9)² = 81

    x² − 18x + 81 = -67 + 81

    x² − 18x + 81 = 14

    Factor the perfect square:

    (x − 9)² = 14

    Solve for x:

    x − 9 = ±√14

    x = 9 ± √14

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