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Popular Question
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Yearling
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Solving $x!+1=y^2 $integer solutions,example：$(4,5),(5,11),(7,71)$
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Solving $x!+1=y^2 $integer solutions,example：$(4,5),(5,11),(7,71)$ |
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How to find a point P in △ ABC,△ PAB,△ PBC, the△ PCA inscribed circle radius are equal? |
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Prove or disprove: For all positive integers $ n$ , $\sqrt[3]{n}+\sqrt[3]{n+1}$ are irrational numbers. |
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Construct (with ruler and compass) a square given one point from each side. |
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Prove or disprove: For all positive integers $ n$ , $\sqrt[3]{n}+\sqrt[3]{n+1}$ are irrational numbers.
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Prove or disprove: For all positive integers $ n$ , $\sqrt[3]{n}+\sqrt[3]{n+1}$ are irrational numbers. |
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${{a}_{n}}=\frac{1}{2n-1}$，${{S}_{n}}=\sum\limits_{i=1}^{n}{{{a}_{i}}}$，if ${{S}_{n}}<3$，Calculate max(n). |
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${{a}_{n}}=\frac{1}{2n-1}$，${{S}_{n}}=\sum\limits_{i=1}^{n}{{{a}_{i}}}$，if ${{S}_{n}}<3$，Calculate max(n).
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${{a}_{n}}=\frac{1}{2n-1}$，${{S}_{n}}=\sum\limits_{i=1}^{n}{{{a}_{i}}}$，if ${{S}_{n}}<3$，Calculate max(n).
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${{a}_{n}}=\frac{1}{2n-1}$，${{S}_{n}}=\sum\limits_{i=1}^{n}{{{a}_{i}}}$，if ${{S}_{n}}<3$，Calculate max(n). |
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Prove $\log_{\frac{1}{4}} \frac{8}{7}> \log_{\frac{1}{5}} \frac{5}{4}$ |
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Prove $\log_{\frac{1}{4}} \frac{8}{7}> \log_{\frac{1}{5}} \frac{5}{4}$ |
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How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$ |
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How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$ |
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Constituent
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Caucus
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Prove that $x ^ 3-y ^ 2 = 2$ only has one solution $(3,5)$
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