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.

111

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.