There are two complex solutions.
It has a complete lack of any x-intercepts.
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
In basic mathematics, a quadratic equation with a negative discriminant has no solutions. However, at a more advanced level you will learn that it has two solutions which form a complex conjugate pair.
A quadratic equation has one discriminant.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
The quadratic has no real solutions.
It has a complete lack of any x-intercepts.
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
In basic mathematics, a quadratic equation with a negative discriminant has no solutions. However, at a more advanced level you will learn that it has two solutions which form a complex conjugate pair.
It has one real solution.
A quadratic equation has one discriminant.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
If the quadratic function is written as ax2 + bx + c, then it has no x-intercepts if the discriminant, (b2 - 4ac), is negative.
The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.
The discriminant must be a perfect square or a square of a rational number.
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.