The roots of 2 x 2 – 6 x + 8 = 0 are ___________. Options: A . &nbsp real, unequal and rational B . &nbsp real, unequal and irrational C . &nbsp real and equal D . &nbsp imaginary

The roots of 2x2–6x+8=0 are __________

Question

The roots of $2 x^{2} - 6 x + 8 = 0$ are ___________.

Options:

A . real, unequal and rational

B . real, unequal and irrational

C . real and equal

D . imaginary

Answer: Option D
:
D

Step 1: For $2 x^{2} - 6 x + 8 = 0$ , value of discriminant
$D = (- 6)^{2} - 4 (2) (8) = 36 - 64 = - 28$

Step 2: Since $D < 0$ , roots are imaginary.

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