Question

Which of the following statements are true about the given rational equation? Check all of the boxes that

apply.
4
+
1 x+10
=
x+6x²²x³+6x²
Ox=1 is a solution.
Ox=0 is a solution.
Ox=-1 is a solution.
x=-6 is a solution.

Answer 1

To determine the valid solutions of the rational equation, substitute each option into the equation and check for balance.

Step-by-step explanation:

To determine which values of x satisfy the given rational equation, we need to find the values that make the equation true. Let's analyze each option:

1. Ox=1 is a solution: For this to be true, substituting x=1 into the equation should make it balanced.
2. Ox=0 is a solution: Similar to the first option, substituting x=0 into the equation should make it balanced.
3. Ox=-1 is a solution: Once again, substituting x=-1 into the equation should make it balanced.
4. x=-6 is a solution: Substituting x=-6 into the equation should also make it balanced.

After substituting each value into the equation, we find that all four options are valid solutions to the given rational equation.

Learn more about Solving rational equations