The coefficients are a = 4, b = -3, c = -8. The discriminant is calculated with the formula b2 - 4ac, so just replace the coefficients in this formula.
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If the discriminant of a quadratic equation is zero then it has two identical roots.
The discriminant in the quadratic equation x2 + 11x + 121 = x + 96 is 0.Simplify the equation to the form Ax2 + Bx + C = 0 and you get x2 + 10x + 25 = 0. The discriminant is B2 - 4AC or 100 - (4)(1)(25) or 100 - 100 or 0.Not asked, but answered for completeness - since the discriminant is 0, there is one real solution, namely x = (-10 +/- 00.5) / 2 = -5
The discriminant is 25.
The equation is equivalent to: -3x2 - 12x - 1 = 0 [you could change signs to get 3x2 + 12x + 1 = 0 but that is not required] The discriminant is (-12)2 - 4*(-3)(-1) = 144 - 12 = 132
This quadratic equation has no real roots because its discriminant is less than zero.