Either "roots" or "solutions".
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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.
Write the quadratic equation in the form ax2 + bx + c = 0 The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.
The roots of the quadratic equation are the x-intercepts of the curve.
By using the quadratic equation formula
It is finding the values of the variable that make the quadratic equation true.