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The nature of the roots of the equation $2 x^{2} - 3 x + 5 = 0$ is:

Competition practiceAlgebra

ATwo distinct real roots
BTwo equal real roots
CNo real roots
DExactly one real root

Step-by-Step Solution

Discriminant =

(- 3)^{2} - 4 (2) (5) = 9 - 40 = - 31 < 0

, so the equation has no real roots.

Answer: C) No real roots

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