JEE 2011 Biquadratic Roots Solution

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Description
Solution to problem came in Mathematics section in IIT JEE 2011. A biquadratic equation can have none, two or four real roots. Since, there was one turning point and sign change, the answer is two. The key concept involved is monotonicity. The graph of the function is shown in the solution.

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Manish Verma
IIT JEE Physics Mathematics Chemistry
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