Home Forums Math Using the quadratic formula to solve x^2 + 20 = 2x, what are the values of x? Reply To: Using the quadratic formula to solve x^2 + 20 = 2x, what are the values of x?

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gargij
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    The correct answer is (A) :

    Given : x^2 + 20 = 2x

    Then : x^2 – 2x + 20 = 0

    a = 1, b = -2, c = 20

    The quadratic formula is :

    x = (- b ± √(b^2 – 4ac)) / (2a)

    Substitute the values in formula

    x = -(-2) ± √((-2)^2 – 4(1)(20)) / 2(1)

    x = 2 ± 2 i √19 / 2

    x = 1 – i √19 and 1 + i √19

    Hence the value of X is x = 1 – i √19 and 1 + i √19

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