Mathematics
Discuss the nature of the roots of the following equation without actually solving it:
3x2 - 2x + 5 = 0
Quadratic Equations
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Answer
Comparing 3x2 - 2x + 5 = 0 with ax2 + bx + c = 0 we get,
a = 3, b = -2 and c = 5.
We know that,
Discriminant (D)= b2 - 4ac = (-2)2 - 4 × 3 × 5
= 4 - 60 = -56; which is negative.
Hence, the roots are imaginary and unequal.
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