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.
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.
The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.
If the quadratic function is written as ax2 + bx + c, then it has no x-intercepts if the discriminant, (b2 - 4ac), is negative.
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.
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.