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An algebra problem by Abhay Kumar

Algebra Level 4

\[\large 2^{2x^2-10x+3}+6^{x^2-5x+1} \geq 3^{2x^2-10x+3}\]

The set of values of \(x\) for which above inequality holds is given by:

\[\left[\frac{5-\sqrt{21}}{2},\frac{5+\sqrt{21}}{2}\right]\] \[\left[-\infty,-\left(\frac{5+\sqrt{21}}{2}\right)\right]\] \[(-\infty ,\infty) \] \[\left[-\frac{5+\sqrt{21}}{2},\frac{5+\sqrt{21}}{2}\right]\]

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by Abhay Kumar

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