The roots of an equation of the form y = f(x), are those values of x for which y = 0. If plotted on the coordinate plane, these are the points where the graph of y against x crosses (or touches) the x axis.
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The roots of the equation
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
Either "roots" or "solutions".
That is what roots mean!
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12