JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

The number of real solutions of the equation

{\left( {5 + 2\sqrt 6 } \right)^{{x^2} - 3}} + {\left( {5 - 2\sqrt 6 } \right)^{{x^2} - 3}} = 10,

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Correct option: B

Option B (4) is correct because solving the given equation by recognizing the reciprocal relationship leads to four real solutions for x.

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{x^2} + 4ax + 2 > 0

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a

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9{x^2} - 18\left| x \right| + 5 = 0

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