Question
$$x^4-x^2+\frac{100}{1024} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x^4-x^2+\frac{100}{1024} &= 0&& \text{multiply ALL terms by } \color{blue}{ 1024 }. \\[1 em]1024x^4-1024x^2+1024\cdot\frac{100}{1024} &= 1024\cdot0&& \text{cancel out the denominators} \\[1 em]1024x^4-1024x^2+100 &= 0&& \\[1 em] \end{aligned} $$
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