In a quadratic equation of the form ax2+bx + c = 0, the discriminant is b2-4ac.
It determines the nature of the roots of the equation. If it is positive, there are two real roots; if is negative, there are two complex roots; if it is zero, there is one real root, often called a double root. Both real roots are rational if and only the discriminant is a perfect square.
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By calculating the discriminant of the equation and if it's negative the equation will have no solutions
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.
If you mean b^2 -4ac then it is the discriminant of a quadratic equation. If the discriminant equals 0 then the equation has 2 equal roots. If the discriminant is greater than 0 then the equation has 2 different roots. If the discriminant is less than 0 then it has no real roots.