roots
imaginary
discriminant
A quadratic equation has one discriminant.
If the discriminant of a quadratic equation is less than zero, it indicates that the equation has no real solutions. Instead, it has two complex (or imaginary) solutions that are conjugates of each other. This means the parabola represented by the quadratic equation does not intersect the x-axis.
6
imaginary
discriminant
solutions
A quadratic equation has one discriminant.
If the discriminant of a quadratic equation is less than zero, it indicates that the equation has no real solutions. Instead, it has two complex (or imaginary) solutions that are conjugates of each other. This means the parabola represented by the quadratic equation does not intersect the x-axis.
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
6
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.
The discriminant of a quadratic equation helps determine the nature of its roots - whether they are real and distinct, real and equal, or imaginary.
If the discriminant of a quadratic equation is zero then it has two identical roots.
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 discriminant of the quadratic equation: y = ax^2 + bx + c is b^2 - 4ac