Question

PLEASE HELPPP

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 plus a over ax = b over 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.

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.