New posts in quadratics

Proving Quadratic Formula

algebra-precalculus polynomials quadratics

Intuition for why equations of the form $k^x=x^c$ are not solvable trivially?

exponential-function quadratics

If $a$ and $b$ be the roots of the quadratic equation $x^2-6x+4=0$ then find the value of given expression.

algebra-precalculus quadratics

Sign of $P(Δ)$ with $P(x)=ax²+bx+c$ and $Δ=b²-4ac$

quadratics

If $ax^2-bx+c=0$ has two distinct real roots lying in the interval $(0,1)$ $a,b,c$ belongs to natural prove that $\log_5 {abc}\geq2$

inequality logarithms quadratics

Prove that $n$ is divisible by $6$

divisibility quadratics

Value of an algebric expression in a quadratic equation

quadratics

Let $f(x)=ax^2+bx+c$ where $a,b,c$ are real numbers. Suppose $f(-1),f(0),f(1) \in [-1,1]$. Prove that $|f(x)|\le \frac{3}{2}$ for all $x \in [-1,1]$.

algebra-precalculus quadratics

max of $e$ with $a+b+c+d+e=8$ and $a^2+b^2+c^2+d^2+e^2=16$ [closed]

inequality optimization contest-math quadratics nonlinear-optimization

General method for determining if $Ax^2 + Bx + C$ is square

diophantine-equations quadratics square-numbers

Lagrange - Minimising area under parabola, my answer is wrong

polynomials roots quadratics maxima-minima lagrange-multiplier

$f(g(h(x)))=0$ has $8$ real roots

algebra-precalculus roots quadratics

Consider the quadratic equation $ax^2-bx+c=0, a,b,c \in N. $ If the given equation has two distinct real root...

polynomials quadratics

Proving that $x^2-2xy+6y^2-12x+2y+41\ge 0$ where $x,y \in\Bbb{R}$

inequality polynomials quadratics

Prove: For odd integers $a$ and $b$, the equation $x^2 + 2 a x + 2 b = 0$ has no integer or rational roots.

number-theory functions quadratics

Do Irrational Conjugates always come in pairs?

roots graphing-functions quadratics

What conditions would make a system of two quadratic equations have one real solution?

quadratics graphing-functions quadratic-forms

Is there any methods to solve for integer solution of a quadratic equation like $ax^2 + bx + c = 0$

quadratics diophantine-equations

A new way of solving cubics?

algebra-precalculus quadratics

Simple Trig Equations - Why is it Wrong to Cancel Trig Terms?

algebra-precalculus trigonometry quadratics