Mathematics
Discuss the nature of the roots of the following equation without actually solving it:
2x2 - 5x - 4 = 0
Quadratic Equations
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Answer
Comparing 2x2 - 5x - 4 = 0 with ax2 + bx + c = 0 we get,
a = 2, b = -5 and c = -4.
We know that,
Discriminant (D) = b2 - 4ac = (-5)2 - 4 × 2 × -4
= 25 - (-32) = 25 + 32 = 57 ; which is positive and is not a perfect square.
Hence, the roots are irrational and unequal.
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