Which of the following best describes the solution set to the equation shown above?
The equation has exactly one solution, x=0
The equation has exactly one solution, x=1
The equation has no solution
The equation has infinitely many solutions
The correct option is A The equation has no solution
A solution to an equation is a value of the variable (in this case x ) that makes the equation true. Let's combine like terms:
The two sides of the equation look similar, however, no matter what value of x we substitute into the equation, we will get 4 = 1, which is not true. Therefore, the equation has no solution.