New posts in systems-of-equations

A system of equations with 5 variables: $a+b+c+d+e=0$, $a^3+b^3+c^3+d^3+e^3=0$, $a^5+b^5+c^5+d^5+e^5=10$

algebra-precalculus trigonometry systems-of-equations symmetric-polynomials

Finding $x^8+y^8+z^8$, given $x+y+z=0$, $\;xy +xz+yz=-1$, $\;xyz=-1$

calculus algebra-precalculus systems-of-equations roots symmetric-polynomials

System of non-linear equations.

polynomials systems-of-equations nonlinear-system

Find the value of $(\log_{a}b + 1)(\log_{b}c + 1)(\log_{c}a+1)$ if $\log_{b}a+\log_{c}b+\log_{a}c=13$ and $\log_{a}b+\log_{b}c+\log_{c}a=8$

logarithms contest-math systems-of-equations

linear 4×4 system of nonhomogeneous differential equations with repeated eigenvalues.

ordinary-differential-equations eigenvalues-eigenvectors systems-of-equations

What am I doing wrong solving this system of equations?

linear-algebra systems-of-equations

Simultaneously vanishing quadratic forms

linear-algebra matrices systems-of-equations quadratic-forms

Method of characteristics for systems of PDE (vs. Lewy's example)

partial-differential-equations systems-of-equations

Behaviour of the solutions of a system of differential equations at infinity.

real-analysis ordinary-differential-equations systems-of-equations lyapunov-functions

Pell number factorization and divisibility question

elementary-number-theory systems-of-equations divisibility pell-type-equations

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

algebra-precalculus systems-of-equations word-problem

Solving $x_1+x_2=x_3^2, x_2+x_3=x_4^2, x_3+x_4=x_5^2,x_4+x_5=x_1^2, x_5+x_1=x_2^2$ in reals

algebra-precalculus systems-of-equations

If $2^x=3^y=6^{-z}$ then prove that:$ \frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$

algebra-precalculus systems-of-equations

Proving that there is no matrix $B$ for such $By = x$

linear-algebra matrices systems-of-equations

Solution to a system of ODE:s

ordinary-differential-equations systems-of-equations

Prove or Disprove the Existence of Solutions...

linear-algebra systems-of-equations

How find the value of the $x+y$

algebra-precalculus systems-of-equations

Solve a linear system with more variables than equations

linear-algebra systems-of-equations

Solve the system $ x \lfloor y \rfloor = 7 $ and $ y \lfloor x \rfloor = 8 $.

contest-math systems-of-equations ceiling-and-floor-functions

Solve $\begin{cases}x^2+y^4=20\\x^4+y^2=20\end{cases}$

algebra-precalculus systems-of-equations