Mathematics
Discuss the nature of the roots of the following equation without actually solving it:
2x2 + 2x + 3 = 0
Quadratic Equations
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Answer
Comparing 2x2 + 2x + 3 = 0 with ax2 + bx + c = 0 we get,
a = 2, b = 2 and c = 3.
We know that,
Discriminant (D) = b2 - 4ac = (2)2 - 4 × 2 × 3
= 4 - 24 = -20; which is negative.
Hence, the roots are imaginary and unequal.
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