Mathematics
Discuss the nature of the roots of the following equation without actually solving it:
5x2 - 13x - 6 = 0
Quadratic Equations
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Answer
Comparing 5x2 - 13x - 6 = 0 with ax2 + bx + c = 0 we get,
a = 5, b = -13 and c = -6.
We know that,
Discriminant (D) = b2 - 4ac = (-13)2 - 4 × 5 × -6
= 169 - (-120) = 169 + 120 = 289 ; which is positive and is a perfect square.
Hence, the roots are rational and unequal.
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