Question
$$14x^2+5 = 3x^4$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 14x^2+5 &= 3x^4&& \text{move all terms to the left hand side } \\[1 em]14x^2+5-3x^4 &= 0&& \text{simplify left side} \\[1 em]-3x^4+14x^2+5 &= 0&& \\[1 em] \end{aligned} $$
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