List questions from substitution

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Solve $(5+2\sqrt{6})^{x^2-3}+(5-2\sqrt{6})^{x^2-3}=10$

Published on 08 Apr 2019 - 18:23

List Question

Prove an inequality with positives $a$, $b$ and $c$.

Substitution matrix for the Ammann-Beenker tiling

About the fact that $\frac{a^2}{b} + \frac{b^2}{a} + 7(a + b) \ge 8\sqrt{2(a^2 + b^2)}$

Prove that $\frac{1}{ab}+\frac{1}{cd} \geq \frac{a^2+b^2+c^2+d^2}{2}$

Prove that $\sum_{cyc}\frac{a^2}{ca^2 + 2c^2} \ge 1$

trying to solve an integral

Prove $\int_0^2 \frac{\log{x}}{\sqrt{4-x^2}}\text{d}x=0$ without integrating

Proof for $\frac{\cos^6 x}{\cos 6x}=1$

Prove that $\frac{2-2a^2}{1+a^2}+\frac{1-b^2}{1+b^2}+\frac{1-c^2}{1+c^2} \leq \frac{9}{4}$

Substitution of integral - pdes

A nice Nesbitt inequality from a strange inequality

Proving logical equivalence using substitution and transitive property

Proof of integration by substitution directly from the definition of Riemann integral.

Direct integration method

Solve $(5+2\sqrt{6})^{x^2-3}+(5-2\sqrt{6})^{x^2-3}=10$

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