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Without solving, examine the nature of roots of the equation 2x^2 – 7x + 3 = 0 - Mathematics

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Sum

Without solving, examine the nature of roots of the equation 2x2 – 7x + 3 = 0

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Solution

Comparing 2x2 – 7x + 3 = 0 with ax2 + bx + c = 0;

we get: a = 2, b = – 7 and c = 3

D = b2 – 4ac = (–7)2 – 4 × 2 × 3

= 49 – 24 = 25, which is perfect square.

∴ The roots of the given equation are rational and unequal

Concept: Nature of Roots
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