New posts in Systems Of Equations

Is the AM-GM inequality the only obstruction for getting a specific sum and product?

Can I solve this other than using Newton's sums or Newton's identities?

System of equations $x^3+y=y^2\ \& \ y^3+z=z^2\ \& \ z^3+x=x^2$

Prove that rank(A) = rank(A|C)

Approximate solution of $H(x)=(x!)^k$

solutions of $a+b=c^2 , a^2+c^2=b^2$ ; $a,b,c$ are natural numbers

Solve the equations and find $x,y,z$

Find all $x$ such that $\sin x = \frac{4}{5}$ and $\cos x = \frac{3}{5}$.

Systems of equations involving linear and quadratic terms

Solve for $x, y \in \mathbb R$: $x^2+y^2=2x^2y^2$ and $(x+y)(1+xy)=4x^2y^2$