Question 478945
The discriminant is {{{b^2-4ac}}}
If the discriminant is 0, then the equation has a double solution, that is both solutions are identical and real. Many times this is called a "single" solution.
If the discriminant is positive, then the equation has two real solutions.
If the discriminant is negative, then the equation has two complex solutions.
{{{2x^2-10x+25 = 0}}}
The discriminant is:
{{{(-10)^2-4(2)(25) = 100-200}}} = {{{-100}}}
The discriminant is negative so there are two complex solutions.