The general form of a quadratic equation is ax2 + bx + c = 0 where a is not zero, a, b and c are constants.
The discriminant is b2 - 4ac
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By calculating the discriminant of the equation and if it's negative the equation will have no solutions
The discriminant is 9.
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.