Question
$$xx-\frac{25}{5-x} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} xx-\frac{25}{5-x} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5-x }. \\[1 em](5-x)xx-(5-x)\cdot\frac{25}{5-x} &= (5-x)\cdot0&& \text{cancel out the denominators} \\[1 em]-x^3+5x^2-25 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Equations Solver