Question
$$(6x^8-120x^6+900x^4-3000x^2+3750)^2 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} (6x^8-120x^6+900x^4-3000x^2+3750)^2 &= 0&& \text{simplify left side} \\[1 em]36x^{16}-1440x^{14}+25200x^{12}-252000x^{10}+1575000x^8-6300000x^6+15750000x^4-22500000x^2+14062500 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
This page was created using
Polynomial Equations Solver