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12 July, 10:14

What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96?

A. 0 B. 100 C. 20 D. 200

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Answers (1)
  1. 12 July, 11:57
    0
    Given:

    x² + 11x + 121 = x + 96

    First, we need to convert it into a quadratic equation.

    x² + 11x - x + 121 - 96 = 0

    x² + 10x + 25 = 0

    a = 1; b = 10; c = 25

    Quadratic formula:

    x = (-b + (√b² - 4ac)) : 2a

    The discriminant is under the radical sign

    discriminant ⇒ b² - 4ac ⇒ 10² - 4 (1) (25) ⇒ 100 - 100 = 0

    Correct answer is A. 0
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