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16 March, 21:18

What is the discriminant D of the equation? a2-2a+5=0 Enter your answer in the box.

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  1. 16 March, 21:38
    0
    For a quadratic equation ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac

    Thus for a^2 - 2a + 5 = 0,

    a = 1, b = - 2 and c = 5

    b^2 - 4ac = (-2) ^2 - 4 (1) (5) = 4 - 20 = - 16
  2. 16 March, 21:42
    0
    The Discriminant:

    D = b² - 4 a c

    D = (-2) ² - 4 · 1 · 5 = 4 - 20 = - 16

    D = - 16

    D < 0, which means that there are no real solutions. The solutions of this equation are complex conjugate numbers.
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