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12.1 Homework Problems: Solving Rational Equations

1. State any restrictions on x, then solve the rational equations for x

a.  [latex]\frac{4x}{7}=\frac{x+5}{3}[/latex]

b.  [latex]\frac{4}{x-4}=\frac{2}{x+3}[/latex]

c.  [latex]\frac{5x+2}{x-6}=\frac{11}{4}[/latex]

d.  [latex]\frac{2}{x^{2\ }-9}=\ \frac{1}{x^2}+\ \frac{1}{x^2-3x}[/latex]

e.  [latex]\frac{5x}{4}-\frac{1}{2}=-\frac{3}{16}[/latex]

f.  [latex]\frac{x-2}{3}-\frac{x-3}{5}=\frac{13}{15}[/latex]

g.  [latex]\frac{2}{4x-1}+\frac{1}{x+1}=\frac{3}{x+1}[/latex]

h.  [latex]\frac{3x+5}{3x+2}+\frac{8x+16}{3x^2-4x-4}=\frac{x+2}{x-2}[/latex]

i.  [latex]\frac{x-2}{x-3}+\frac{x-3}{x-2}=\frac{2x^2}{x^2-5x+6}[/latex]

j.  [latex]\frac{3}{3x-1}+\frac{1}{x+1}=\ \frac{4}{2x-1}[/latex]

Unit 12.1 Homework Printable Copy

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