Task 4-Solving Rational Equations

Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.

x + a (over (fraction)) ax = b (over (fraction)) x

Part 1. Show all work to solve for x in the equation and check the solution.

Part 2. Explain how to identify the extraneous solution and what it means.

Question

Mathematics

Davin Gregory

17 October, 08:23

Task 4-Solving Rational Equations

Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.

x + a (over (fraction)) ax = b (over (fraction)) x

Part 1. Show all work to solve for x in the equation and check the solution.

Part 2. Explain how to identify the extraneous solution and what it means.

+3

Answers (1)

Know the Answer?

Mohamed Morales · Answer 1

(x + a) / (ax) = b/x

a = 2

b = 5

(x + 2) / (2x) = 5/x

cross multiply

x * (x+2) = (2x) * 5

x^2 + 2x = 10x

x^2 - 8x = 0

x (x - 8) = 0

We get two solutions

x = 0, 8

the solution 0 is extraneous

the solution 8 is valid.