Question 530526
The discriminant is {{{ b^2 - 4*a*c }}}
where {{{ y = ax^2 + bx + c }}}
In the quadratic formula, it appears
under the square root sign
(1) 
2 imaginary solutions:
{{{ b^2 < 4*a*c }}}
(2)
1 real solution:
{{{ b^2 = 4*a*c }}}
(3)
2 rational solutions:
{{{ b^2 > 4*a*c }}}
and
{{{ b^2 - 4*a*c }}} is a perfect square
(4)
{{{ b^2 > 4*a*c }}}
and 
{{{ b^2 - 4*a*c }}} is not a perfect square