AA2 S2 Lesson #10 - Rational Review

Solve and check for extraneous solutions

• x= - 3 & x= -8

• x= -3

• No Solution

• x= -8

Solve for x

• x = 10

• x = 6

• no solution

Solve

• No Solution

• x = 6

• x = 7

• x = 5

Solve. Check for extraneous solutions.

• 4

• 2

• -2

• -4

Solve for v

• - 7/6
• - 9/5
• 9/5
• -3

Solve the equation for x.

• 7
• 6
• 14
• 0

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

•  $-2$  

•  $5$  

•  $6$  

•  $\frac{61}{3}$  

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

•  $3,\ 4$  

•  $3$  

•  $3,\ 7$  

•  $-\frac{11}{3}$  

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

•  $-\frac{13}{4}$  

•  $-7,\ 1$  

•  $-1$  

•  $7$  

Solve:  $\frac{3}{x-5}-\frac{20}{x^2-25}=\frac{2}{x+5}$  

•  $x=-5$  

•  $x=5$  

•  $\frac{5}{\left(x+5\right)\left(x-5\right)}$  

• No Solution