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Verification for proof by strong induction of $a^n - 1 = (a - 1)(a^{n-1} + a^{n-2} + a^{n-3}+···+a + 1)$

Amount of solutions to an equation

Tighter inequality than Cauchy - Schwarz inequality

Number of apples on the tree after n days?

Prove this inequality $a^{\frac{a}{b}}b^{\frac{b}{c}}c\geq1$

Evaluating $\sum_{cyc} \frac{a^4}{(a-b)(a-c)}$, where $a=-\sqrt3+\sqrt5+\sqrt7$ , $b=\sqrt3-\sqrt5+\sqrt7$, $c=\sqrt3+\sqrt5-\sqrt7$

If $a+b+c = 0$ then the quadratic equation $3ax^{2}+2bx +c=0$ has atleast one root in _________?

Is solving an equation the same as finding the roots?

Optimising $x_1x_2+x_2x_3+\cdots+x_nx_1$ given certain constraints

Prove that x is rational

Solving for real x and y

Solve the equation $12x^5+16x^4-17x^3-19x^2+5x+3=0$

Prove $\sqrt[n]{m}\leq\sqrt[3]{3}\lor\sqrt[m]{n}\leq\sqrt[3]{3}$ for $n,m\in\mathbb{N}>1$.

Find the minimum of $\frac{\sin x}{\cos y}+\frac {\cos x}{\sin y}+\frac{\sin y}{\cos x}+\frac{\cos y}{\sin x}$

Good Pre-Calculus book?

New posts in algebra-precalculus

Why does $f(-x+a)$ shift to the right?

Functional equation $4f(x^2+y^2)=(f(x)+f(y))^2$

Finding sum : ${\mathop{\sum\sum\sum\sum}_{0\le i\lt j\lt k\lt l\le n }} \,1$

Find the general value of $\theta$ for the inverse trigonometric function

Find the real solutions of the equations:$x+y=2$, $xy-z^2=1$

Verification for proof by strong induction of $a^n - 1 = (a - 1)(a^{n-1} + a^{n-2} + a^{n-3}+···+a + 1)$

Amount of solutions to an equation

Tighter inequality than Cauchy - Schwarz inequality

Number of apples on the tree after n days?

Prove this inequality $a^{\frac{a}{b}}b^{\frac{b}{c}}c\geq1$

Evaluating $\sum_{cyc} \frac{a^4}{(a-b)(a-c)}$, where $a=-\sqrt3+\sqrt5+\sqrt7$ , $b=\sqrt3-\sqrt5+\sqrt7$, $c=\sqrt3+\sqrt5-\sqrt7$

If $a+b+c = 0$ then the quadratic equation $3ax^{2}+2bx +c=0$ has atleast one root in _________?

Is solving an equation the same as finding the roots?

Optimising $x_1x_2+x_2x_3+\cdots+x_nx_1$ given certain constraints

Prove that x is rational

Solving for real x and y

Solve the equation $12x^5+16x^4-17x^3-19x^2+5x+3=0$

Prove $\sqrt[n]{m}\leq\sqrt[3]{3}\lor\sqrt[m]{n}\leq\sqrt[3]{3}$ for $n,m\in\mathbb{N}>1$.

Find the minimum of $\frac{\sin x}{\cos y}+\frac {\cos x}{\sin y}+\frac{\sin y}{\cos x}+\frac{\cos y}{\sin x}$

Good Pre-Calculus book?