Question 39
Given $x \geq 0$, prove that
$$
\frac{\left(x^{2}+1\right)^{6}}{2^{7}}+\frac{1}{2} \geq x^{5}-x^{3}+x
$$
$$
\frac{\left(x^{2}+1\right)^{6}}{2^{7}}+\frac{1}{2} \geq x^{5}-x^{3}+x
$$
MathNet 2014 Question 39
Math Olympiad Vault · MathNet 2014