The equation has A rational roots and B irrational roots. …

Maths Quadratic Equations Solution of Quadratic Inequations and Miscellaneous Equations Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The equation has A rational roots and B irrational roots. Find value of .

Text Solution

Verified by Experts

The correct answer is:

(3)
Sol. (For the given equation to be meaningful we must have . For the given equation can

be written as

By putting so that because

Thus, the given equation has exactly three real solutions out of which exactly one is irrational

namely

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