A quadratic equation can have either two real solutions or no real solutions.
It will then have two equal real solutions
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
Two distinct real solutions.
imaginary
The quadratic has no real solutions.
A quadratic equation can have either two real solutions or no real solutions.
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
It will then have two equal real solutions
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
Two distinct real solutions.
imaginary
discriminant
solutions
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.