Rational Expressions Problem Set 2

The function \(f(x)=\frac{x}{2x-6}\) has no solution at which of the following values?

If \(\frac{6}{x+1}+\frac{6}{x-5}=0\), what is the value of \(x\)?

\[[x, x+6,x+7,2]\]

A group of students has four sets of trading cards with the unknown amounts given above. The group plans to pool the cards together and split them into \((x+5)\) piles. What is the mean number of cards in each set?

\[\frac{5}{k^3-3k^2}=\frac{1}{k^3-3k^2}+\frac{1}{k-3}\]

What is the sum of the solutions for \(k\) in the above equation?

\[\frac{6x}{x^2+2x-24}+\frac{6x+42}{x-4}=\frac{6}{x-4}\]

What is a possible value of \(x\)?