Top network posts

• 20 Prove that if $x_1,x_2,\ldots,x_n>0$, then $(1+x_1)(1+x_1+x_2)\ldots(1+x_1+x_2+\ldots+x_n) \ge \sqrt{(n+1)^{n+1}}\sqrt{x_1x_2\ldots x_n}$.
• 18 Prove the inequality using AM-GM inequality
• 16 prove that the equation has just one root.
• 14 Why can ALL quadratic equations be solved by the quadratic formula?
• 13 Using the Limit definition to find the derivative of $e^x$
• 12 Compare two powers of numbers without common divisor
• 12 Find all $x,y,z\in\mathbb N$, $x,y,z>1$ such that satisfy $x\mid yz+1$, $y\mid xz+1$, and $z\mid xy+1$
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