Question

In what situations will a rational equation have no​ solution?

Select all that apply.

A. When the variable drops out and leaves a false statement.

B. When the variable drops out and leaves a true statement.

C. When the solved value of the variable causes the denominator of any fraction to equal 0.

D. When the solved value of the variable causes the numerator of any fraction to equal 0.

E. None of the above. A rational equation will always have a solution.

Answer 1

A. When the variable drops out and leaves a false statement.

C. When the solved value of the variable causes the denominator of any fraction to equal 0.

A is true for all equations.

C is specific to rational functions, since the solutions cannot turn the equation into meaningless fractions (fractions with denominators of 0).