New posts in algebra-precalculus

How to simplify $a^n - b^n$?

How to express $f(n\alpha)$ in terms of $f(\alpha)$

Is there an error in this AP Calculus quiz on function transformations?

Existence of a surjective non-linear polynomial $P \in \Bbb Q[X]$

$a+b=c \times d$ and $a\times b = c + d$

Types of polynomial functions. Quadratic, cubic, quartic, quintic, ...,?

Vanier College Practice test - Prove that $\log_{\frac {1} {\sqrt b} }\sqrt x= -\log_b x$

Suppose the cofficients of a quadratic are rational. How can we use the discriminant to determine if the roots are also rational?

Im(z) and Re(z) of $\bar z^2+ \frac {1}{z^2}$

Solution of $ax=a^x$

Why can we use geometric proofs in algebra?

How can I factor $x^6+5x^3+8$? [duplicate]

How to solve in integers the equation, $(x^2-y^2)^2=1+16y$?

How to average cyclic quantities?

Smooth transition between two lines (2d)

Knowing that $z$ students failed, how many men failed the exam, out of 452 students? (A $1892$ coll. alg. problem)

How do you solve the equation to where the function $f(x)=1+\sqrt{x}$ and it's inverse $g(x)=(x-1)^2$ intersect?

Let N be the number of ordered pairs $(a,b)$ of natural numbers such that $a <b$ and the H.M of $a$ and $b$ is $2010$. Then last digit of N is?

How to solve $(x - 1)(x + 7) < 0$

Calculating $\Big\lfloor\underbrace{\sqrt{2017+\sqrt{2017+...+\sqrt{2017}}}}_\text{2017 roots}\Big\rfloor$