Which of the following statements are true about the given rational equation? 4/x+6 +1/x²=x+10/x³+6x² check all of the boxes that apply. a. x = 1 is a solution. b. x = 0 is an extraneous solution.= c. x = –1 is a solution. d. x = –6 is an extraneous solution.

Correct choices are A and C

Step-by-step explanation:

Consider the equation

Note that

The left side of this equation is equal to

Since the left and the right sides of this equation have the same denominators, their numerators are equal

Then

Both these numbers are the solutions of the given equation.

A and C is correct.

Step-by-step explanation:

First we simplify this equation (-1 + x^2)/(x (6 + x))

Solution set: x=1,-1

We have to check all option which is solution of above equation.

A)  x=1, we will put x=1 into equation both sides.

Thus, x=1 is a solution.

C)  x=-1, we will put x=-1 into equation both sides.

Thus, x=-1 is a solution.

Thus, A and C is correct.