Sum

Without solving, examine the nature of roots of the equation 2x^{2} + 2x + 3 = 0

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#### Solution

Comparing 2x^{2} + 2x + 3 = 0 with ax^{2} + bx + c = 0

we get: a = 2, b = 2 and c = 3

D = b^{2} – 4ac = (2)^{2} – 4 × 2 × 3 = 4 – 24

= – 20; which is negative.

∴ The roots of the given equation are imaginary

Concept: Nature of Roots

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