Solving Rational Equations

 $\frac{1}{a+1}=\frac{4a+12}{a^2+a}+\frac{1}{a}$  

•  $-\frac{13}{4}$  

• {-7, 1}

• -1

• 7

 $\frac{5}{k+7}=\frac{1}{k+3}+\frac{2k-2}{k^2+10k+21}$  

• 2

• 1

• -5

• 5

Tags

CCSS.HSA.REI.A.2

 $\frac{1}{x+8}=\frac{1}{3x+24}+\frac{1}{3}$  

• {8, 3}

• {-6}

•  $\left\{\frac{7}{6}\right\}$  

• 3

Tags

CCSS.HSA.REI.A.2

 $\frac{2n+16}{n-8}=\frac{1}{2n-16}-\frac{1}{2}$  

•  $\left\{-\frac{23}{5}\right\}$  

• {7}

• {-4}

•  $\left\{\frac{4}{3}\right\}$  

Tags

CCSS.HSA.REI.A.2

 $\frac{1}{x+3}=\frac{3}{x+2}-\frac{7}{x^2+5x+6}$  

• {0, 8}

• {0}

• {8}

• {3}

Tags

CCSS.HSA.REI.A.2

 $\frac{n-6}{n^2-11n+28}+\frac{6}{n-4}=\frac{n+3}{n^2-11n+28}$  

•  $\left\{\frac{3}{2}\right\}$  

•  $\left\{-\frac{17}{2}\right\}$  

• {4}

•  $\left\{\frac{17}{2}\right\}$  

Tags

CCSS.HSA.REI.A.2

 $\frac{7x-49}{x^2+8x+12}=\frac{3}{x+6}+\frac{1}{x+2}$  

• {-2}

• {5}

• {6}

•  $\left\{\frac{61}{3}\right\}$  

Tags

CCSS.HSA.REI.A.2

 $\frac{x-5}{x}+\frac{1}{x^2+2x}=\frac{x-8}{x+2}$  

•  $\left\{\frac{9}{5},\frac{31}{8}\right\}$  

•  $\left\{\frac{9}{5}\right\}$  

•  $\left\{\frac{31}{8}\right\}$  

•  $\left\{-7,\frac{31}{8}\right\}$  

Tags

CCSS.HSA.REI.A.2

 $\frac{1}{b^2-9b+18}+\frac{b-7}{b-3}=\frac{1}{b-3}$  

• (0, -2)

•  $\left(0,\frac{7}{5}\right)$  

• 7

• 0

Tags

CCSS.HSA.REI.A.2

 $\frac{n-2}{n+3}=\frac{1}{n^2+7n+12}+\frac{n+8}{n+4}$  

• {3,4}

• {3}

• {7,3}

•  $\left\{-\frac{11}{3}\right\}$  

Tags

CCSS.HSA.REI.A.2