Rational Equations

Question 1

Solve: The solution is a =

Revolt · Accepted Answer

1/6

Question 2

How many extraneous solutions are there?

Revolt · Accepted Answer

zero

Question 3

Solve and check The solution is c =

Revolt · Accepted Answer

14

Question 4

What are the solutions to the equation?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-08-07-20-03-task/mc001-1.jpg

Question 5

After multiplying each side of the equation by the LCD and simplifying, the resulting equation is 3x² – 20x + 12 = 03x² – 20x – 12 = 0✔ 3x² + 20x + 12 = 03x² + 20x – 12 = 0.

Revolt · Accepted Answer

3x² + 20x + 12 = 0

Question 6

Solve and check: 1 x + 3 = x + 10 x − 2 From least to greatest, the solutions are x = and x = .

Revolt · Accepted Answer

-8; -4

Question 7

x = 1 is a solution.x = 0 is a solution.x = –1 is a solution.x = –6 is a solution.

Revolt · Accepted Answer

x = 1 is a solution.; x = –1 is a solution.

Question 8

Name the true solution(s) to the equation. Name the extraneous solution(s) to the equation.

Revolt · Accepted Answer

x = 1 and x = 8; Selection 1: x = 1 and x = 8; Selection 2: x = 0

Question 9

mc001-1.jpg

Revolt · Accepted Answer

mc001-3.jpg

Question 10

Question 10

Revolt · Accepted Answer

No. The student is not correct. Although clearing the denominators gives the possible solution a = -2, it is invalid in the original equation because it makes two denominators equal to zero. Thus, a = -2 is extraneous, and the original equation has no solution.

Rational Equations Answers

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