Question
$$16x^5-20x^3+5x+6^{1/2} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 16x^5-20x^3+5x+6^{1/2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot16x^5-2\cdot20x^3+2\cdot5x+2\cdot6^{1/2} &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]32x^5-40x^3+10x+4 &= 0&& \\[1 em] \end{aligned} $$
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