How do you solve 1/5-1/20=1/x and find any extraneous solutions?

May 26, 2016

$x = - 15$

Explanation:

The equation is 'undefined' for $x = 0$. You are mathematically 'not allowed' to divide by 0

However, the equation structure is such that the value of $x$ is fixed at a value other than 0

Turn everything upside down giving

$x = 5 - 20 = - 15$