AnswersSC-TX-TSIA2-MathematicsRational Equations

Rational Equations Answers

12 verified answers2 views
1
Free Preview

Solve: The solution is a =

Question illustration
Answer:

1/6

2
Free Preview

How many extraneous solutions are there?✔ zeroonetwo

A
✔ zero
B
one
C
two
3

Solve and check The solution is c =

Question illustration
Answer:

14

4

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

A
X 3x² – 20x + 12 = 0
B
3x² – 20x – 12 = 0
C
✔ 3x² + 20x + 12 = 0
D
3x² + 20x – 12 = 0
5

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

A
x = 1 is a solution.
B
x = 0 is a solution.
C
x = –1 is a solution.
D
x = –6 is a solution.
6

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
7

Name the true solution(s) to the equation.X x = 0x = 1x = 8x = 0, x = 1, and x = 8✔ x = 1 and x = 8There are no solutions.

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

Question text not available

Answer:

No, the student is incorrect. When solving the equation, the algebraic solution found is a = –2. However, this value must be checked against the restrictions of the original equation. Substituting –2 into the denominators (a + 2) and (a^2 – 4) results in division by zero, which is undefined. Therefore, a = –2 is an extraneous solution, and the original rational equation actually has no solution.

9

Which of the following did you include in your answer?

A
No, the student did not check the solution to the derived equation in the original equation.
B
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
C
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
10

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

What are the solutions to the equation?

A
Option
Option A
B
Option
Option B
C
Option
Option C
12

Name the extraneous solution(s) to the equation.✔ x = 0x = 1x = 8x = 0, x = 1, and x = 8X x = 1 and x = 8There are no extraneous

A
✔ x = 0
B
x = 1
C
x = 8
D
x = 0, x = 1, and x = 8
E
X x = 1 and x = 8
F
There are no extraneous

Did you find these answers helpful?

More from this Course

Assignment
28 verified answers

Rational Equations

Assignment
29 verified answers

Lesson 5.4: Rational Equations

Assignment
27 verified answers

Rational Equations