You can put this solution on YOUR website! ...where , , and
The discriminant is the part of the quadratic formula underneath the radical sign: the part
...plug in , , and
If , the equation has real solutions.
If , the equation has real solution.
If , the equation has conjugate imaginary solutions.
so, ...set less then and find
if you will have positive discriminant and that means you will have real solutions
=>
check it: take , plug it in and solve for
solutions:
or
...set equal to and find
do same for to prove that the equation has real solution
...set greater then and find
do same for to prove that the equation has conjugate imaginary solutions
take =>
