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

Sum

Without solving, examine the nature of roots of the equation 2x2 + 2x + 3 = 0

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Solution

Comparing 2x2 + 2x + 3 = 0 with ax2 + bx + c = 0

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

D = b2 – 4ac = (2)2 – 4 × 2 × 3 = 4 – 24

= – 20; which is negative.

∴ The roots of the given equation are imaginary

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