Question

What are the excluded values for 1/x-x/9=0. Please explain how you get you answer

Answer 1

Excluded values are the values that make the denominator 0

Denominator 0 is undefined so we exclude the values that makes the denominator 0

$\frac{1}{x} - \frac{x}{9} =0$

LCD is 9x

Multiply the first fraction by 9 and second fraction by x

$\frac{1*9}{x*9} - \frac{x*x}{9*x} =0$

$\frac{9-x^2}{9x} =0$

We have 9x in the denominator

When x=0 the denominator becomes 0

so excluded value is x=0