◀ back to index
Question
$$\frac{x^4}{x^3} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{x^4}{x^3} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^3 }. \\[1 em]x^3\frac{x^4}{x^3} &= x^3\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{1}{x^2} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^2 }. \\[1 em]x^2\cdot\frac{1}{x^2} &= x^2\cdot0&& \text{cancel out the denominators} \\[1 em]1 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 1 = 0 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver