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Mathematics

Discuss the nature of the roots of the following equation without actually solving it:

25x2 + 30x + 7 = 0

Quadratic Equations

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Answer

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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