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

Question

Mathematics

Barbara Copeland

16 June, 19:41

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

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Answers (2)

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Alessandra Pope · Answer 1

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

Trevor Jenkins · Answer 2

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.