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21 February, 23:38

What is the answer to this quadratic equation?

X^2 - 26x + 195=51

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Answers (1)
  1. 22 February, 01:52
    0
    Either x=18 or x=8

    Step-by-step explanation:

    To find the answer to this quadratic equation, we will follow the steps below:

    X² - 26x + 195=51

    Subtract 51 from both-side of the equation

    X² - 26x + 195-51 = 51 - 51

    X² - 26x + 144 = 0

    comparing the above with the standard equation

    ax² + bx + c=0

    a = 1 b = - 26 c = 144

    Using the quadratic formula

    x = - b ± √b² - 4ac / 2a

    x = - (-26) ± √ (-26) ² - 4 (1) (144) / 2 (1)

    x = 26 ± √676 - 576 / 2

    x = 26 ± √100 / 2

    x = 26 ± 10 / 2

    Either x = 26+10 / 2 or x = 26-10 / 2

    Either x = 36/2 or x=16/2

    Either x=18 or x=8
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