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5 November, 08:43

Which quadratic equation has two irrational roots?

O x2 + x + 3 = 0

O x² + 2x - 8=0

x² + 3x - 1=0

x2 - 2x + 1 = 0

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Answers (1)
  1. 5 November, 10:54
    0
    x² + 3x - 1=0

    Step-by-step explanation:

    hello:

    calculate : ∆ = b² - 4ac

    x² + x + 3 = 0 : a = 1 b=1 c=3 ∆ = (1) ² - 4 (1) (3) = - 11 < 0 non reals roots

    x² + 2x - 8=0 : a = 1 b=2 c=-8 ∆ = (2) ² - 4 (1) (-8) = 36 two rational roots

    x² + 3x - 1=0 : a = 1 b=3 c=-1 ∆ = (3) ² - 4 (1) (-1) = 13 no perfect squard

    so : two irrational roots?

    x2 - 2x + 1 = 0 : (x-1) ²=0 one root
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