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The answer will depend on the equation.
Whether or not that there is a solution to a quadratic equation,
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.
not always but most of the time yes