You can put this solution on YOUR website!
we can see that
Start with the discriminant formula.
So for any
value of "p", the value of
is nonnegative. So
nonnegative (ie it is zero or a positive number).
Also for any
value of "q", the value of
is nonnegative. So by extension,
So this means that
nonnegative which means that
. Since the discriminant D is greater than or equal to zero, this means that the equation
will have real solutions for any values of "p" and "q"