$$x^4+10x^3+35x^2+50x+24 = 40$$
Answer
$$ \begin{matrix}x_1 = 0.26643 & x_2 = -5.26643 & x_3 = -2.5+2.27005i \\[1 em] x_4 = -2.5-2.27005i & \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^4+10x^3+35x^2+50x+24 &= 40&& \text{move all terms to the left hand side } \\[1 em]x^4+10x^3+35x^2+50x+24-40 &= 0&& \text{simplify left side} \\[1 em]x^4+10x^3+35x^2+50x-16 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
This page was created using
Polynomial Equations Solver