Solve $\frac{1}{x}+\frac{1}{y} + \frac{1}{z}=\frac{m}{n}$

Solve $\frac{1}{x}+\frac{1}{y} + \frac{1}{z}=\frac{m}{n}$ Intermediate

Video tutorial

Solving $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{m}{n}$

Lecture Notes

This pattern is a generalized problem of the one discussed in the previous lesson and can be solved using a similar method: $$x \le y \le z \implies \frac{1}{x}\ge \frac{1}{3}\cdot\frac{m}{n}\implies \cdots$$

Examples

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Solve in positive integers the equation $$3(xy+yz+zx)=4xyz$$

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Assignment >>>

Solve $\frac{1}{x}+\frac{1}{y}=\frac{m}{n}$

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The Squeeze Method

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