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Find the minimum value of \[x^2+\dfrac{1}{4(x^2+1)}-3\] where \(x \in R\)

Find the number of real solutions of the equation \[\displaystyle |\sin (\pi x)|=|\ln |x||\]

Try without using a graphing calculator

First, Satvik picks one marble ...

Question. "11 identical balls are distributed in 4 distinct boxes randomly. Then the probability that any 3 boxes will together get more number of balls than the remaining one is ...

Find the sum of all solutions to the equation

\[ \large (x^2+5x+5)^{x^2-10x+21}=1 .\]

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