New posts in quadratics

When does $\mbox{tr} \left( A^2 \right) = \mbox{tr} (A)^2$ hold?

linear-algebra matrices quadratics trace

Taking Calculus in a few days and I still don't know how to factorize quadratics

algebra-precalculus factoring quadratics

Use a quadratic equation to find two consecutive even integers if their product is $168$

algebra-precalculus quadratics

If $\text{ }\big(x-\frac{1}x\big)=i\sqrt{2}$. Then compute $\bigg(x^{2187}-\frac{1}{x^{2187}}\bigg)$. Here $i=\sqrt{-1}$

complex-numbers solution-verification quadratics

find the value of the product of roots of this quadratic equation

roots quadratics

Proving there exists $k$ such that $p(n)p(n+1)=p(k)$

polynomials quadratics

Revenue and quadratic formula - for every x increase in price there are y fewer sales

number of solutions of $f(f(f(f(x))))$

functions contest-math quadratics

Why do we automatically assume that when we divide a polynomial by a second degree polynomial the remainder is linear?

algebra-precalculus polynomials quadratics

Solving an equality with 3 equations, and 3 variables

systems-of-equations arithmetic quadratics

Interesting Olympiad Style Problem about Invariance

combinatorics polynomials contest-math quadratics invariance

Discriminant question

quadratics discriminant

Congruent sets of an arithmetic sequence and a geometric sequence

elementary-set-theory proof-writing quadratics arithmetic-progressions geometric-progressions

If the solution set of the quadratic inequality $ax^2+bx+c>0$ is $(2,3)$, find the solution set for $cx^2+bx+a<0$

inequality quadratics

Are there any two real nonzero numbers $a$ and $b$ such that $a^2+ab+b^2 = 0$ Why or why not?

algebra-precalculus solution-verification quadratics

Solving a quadratic equation with precision when using floating point variables

analysis quadratics floating-point

Figuring out coefficients of composition of a first degree polynomial into a quadratic

Is $x^{\frac{1}{2}}+ 2x+3=0$ a quadratic equation

Why can't the quadratic formula be simplified to $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-b\pm(b-2)\sqrt{ac}}{2a}$?

algebra-precalculus roots quadratics radicals

$f(x),g(x)$,2 quadratic polynomials:$|f(x)|≥|g(x)|∀x ∈ R$. Find the number of distinct roots of equation $h(x)h''(x)+(h'(x))^2=0$ if $h(x)=f(x)g(x)$

calculus polynomials roots quadratics