Mathematics

Discuss the nature of the roots of the following equation without actually solving it:
25x² + 30x + 7 = 0

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Comparing 25x² + 30x + 7 = 0 with ax² + bx + c = 0 we get,

a = 25, b = 30 and c = 7.

We know that,

Discriminant (D) = b² - 4ac = (30)² - 4 × 25 × 7

= 900 - 700 = 200; which is positive, but not a perfect square.

Hence, the roots are irrational and unequal.

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