The roots of the equation 2x2 + 3x + 2 = 0 are ___

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Real, rational and equal

Real, ration and unequal

Real, irrational and unequal

None real imaginary

answer is D.

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Detailed Solution

Given, the quadratic equation is
2x2 + 3x + 2 = 0
The general form of quadratic equation is ax2 + bx + c = 0
When the discriminant of the equation is greater than zero, then quadratic equation has 2 real roots
Discriminant = b2 – 4ac
= (3)2 – 4 × 2 × 2
= 9 – 16
= –7
The discriminant is negative.
Therefore, the given equation will have non-real i.e imaginary roots.
Hence, option 4 is the correct answer.

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