List questions from algebra-precalculus

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values of sums of consecutive integer squares

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Powers of ten addition with negative power

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Piecewise functions "overlap"

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What can $\log_e(x) + \log_e(1+x) =0$ be written as?

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Suppose $a,b,c \neq 0$. Show that $\det(1+a,1,1),(1,1+b,1),(1,1,1+c) = abc\left(1 + \frac1a + \frac1b + \frac1c\right)$

Published on 25 Mar 2026 - 23:42

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Let $(x,y) \in \Bbb R^+$ Prove that $\Bigr(1+\frac{1}{x}\Bigl)\Bigr(1+\frac{1}{y}\Bigl)\ge \Bigr(1+\frac{2}{x+y}\Bigl)^2$

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A fun Valentine's day chocolate box optimization problem...

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Proof of divisibility by three test

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Solving $x$ in exponential rate problem

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At least one of $4$ integers is $0$.

Published on 25 Mar 2026 - 13:13

36

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Solving the constant 'a' in a cubic given a coordinate

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Prove that for all rational number $a$ and $b$, $\frac{a+b}{2}$ ≥ $\sqrt{ab}$

Published on 15 Feb 2018 - 18:10

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simplifying algebraic expressions

Published on 15 Feb 2018 - 19:58

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What can I say about the minimum and the maximum value of $n $?

Published on 12 Apr 2026 - 9:32

List Question

range of $k$ in quadratic equation

values of sums of consecutive integer squares

Powers of ten addition with negative power

Piecewise functions "overlap"

What can $\log_e(x) + \log_e(1+x) =0$ be written as?

Suppose $a,b,c \neq 0$. Show that $\det(1+a,1,1),(1,1+b,1),(1,1,1+c) = abc\left(1 + \frac1a + \frac1b + \frac1c\right)$

Let $(x,y) \in \Bbb R^+$ Prove that $\Bigr(1+\frac{1}{x}\Bigl)\Bigr(1+\frac{1}{y}\Bigl)\ge \Bigr(1+\frac{2}{x+y}\Bigl)^2$

A fun Valentine's day chocolate box optimization problem...

Proof of divisibility by three test

Solving $x$ in exponential rate problem

At least one of $4$ integers is $0$.

Solving the constant 'a' in a cubic given a coordinate

Prove that for all rational number $a$ and $b$, $\frac{a+b}{2}$ ≥ $\sqrt{ab}$

simplifying algebraic expressions

What can I say about the minimum and the maximum value of $n $?

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