5.2 Rational equations practice 1

How many solutions does the equation [math]\displaystyle{\frac{2}{x+1}+\frac{3}{x-1}=\frac{6}{x^2-1}}[/math] have?

Solve the equation [math]\displaystyle{\frac{1}{2x+1}+\frac{1}{3x}=2}[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\displaystyle{\frac{3x}{x+1}=\frac{10}{x-1}}[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\displaystyle{\frac{1}{5(3x+1)}-\frac{1}{3(3x+1)}}=1[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\dfrac{1}{3x}+\dfrac{2x+1}{x}=3[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\displaystyle{\frac{x+2}{x^2-5x-6}=\frac{x-6}{x^2+3x+2}}[/math]. If you have two or more answers, write the smallest one.

Solve the equation [math]\displaystyle{\frac{2x}{x^2+4}=\frac{1}{x}}[/math]. If you have two or more answers, write the biggest one.