Solve the rational equation x divided by 6 equals x squared divided by quantity x minus 1 end quantity, and check for extraneous solutions.

x = negative one fifth; 0 is an extraneous solution
x = 0; x= negative one fifth is an extraneous solution
no solution
x = 0 and x = negative one fifth

and

Step-by-step explanation:

Given:

The rational equation to solve is given as:

We use the cross multiplication rule and multiply the numerators one side with the denominators of the other side. Therefore,

Now, for , the rational equation is equal to 0. So, is a solution.

Also, is also a solution as the equation's denominator is defined at that point.

So, no extraneous solution.

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation: