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.

x =  7 is a solution

x = -2 is an extraneous solution.

Step-by-step explanation:

Step-by-step explanation:

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 + 4 / 4x = 8 / x

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

X + 4 / 4x = 8 / x

x(x + 4) = (4x)8

x^2 + 4x = 32x

x^2 + 4x - 32x = 32x - 32x

x^2 - 28x = 0

x(x - 28) = 0

X = 0 or x = 28

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

The solution x = 0 is extraneous because you are not allowed to divide by 0.  

The clock that gains a minute a day, after 60 days will indicate that it is 1: 00 p.m. when it is actually noon.continuing this way, in total it will take 60*24 or 1440 days before the clock is correct at noon again.similarly, the clock that loses a minute a day, after 60 days will indicate that it is 11: 00 a.m. when it is actually noon.again continuing this way, in total it will take 60*24 ir 1440 days before the clock is correct at noon again.in either case, all three clocks will indicate the right time after 1440 days.