Use the quadratic equation to find the roots of 2x2-3x-3=0.
a=2, b=-3, c=-3
x =[ -b +- SQRT(b2-4ac)]/2a
=[--3 +- SQRT((-3)2 - 4(2)(-3))]/2*2
= [3+-SQRT(9--24)]/4
so the roots are x = [3+SQRT(33)]/4 and x = [3-SQRT(33)]/4
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-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
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.
Using the quadratic equation formula:- x = -4.706950048 and x = 0.849071913
The roots of the quadratic equation are the x-intercepts of the curve.
x = 2 and x = 4