the discriminate used to fing the number of real solutions a quadratic equation will have
used to find the x coordinate of the vertex of a parabola
x = -b/2a is the x-coordinate of the vertex of the parabola;
b^2 - 4ac is the formula for the discriminant of the parabola;
x = - b +/- sqrt(b^2- 4ac) is the formula to find the roots of the equation of the parabola, or to find the x-coordinate of the intersection of the parabola with the x-axis;
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