Question 42341
Positive Discriminant:
{{{y = x^2 - 2x}}}
a=1 b=-2 c=0
(4 - 0) = 4
Has two real solutions.
{{{ graph( 300, 300, -5, 5, -5, 5, x^2 - 2x) }}}
Zero Discriminant:
{{{y = 2x^2 - 4x + 2}}}
a=2 b=-4 c=2
(16 - 16) = 0
Has one real solution.
{{{ graph( 300, 300, -5, 5, -5, 5, 2x^2 - 4x + 2) }}}
Negative Discriminant:
{{{y = -x^2 - 2x - 2}}}
a=-1 b=-2 c=-2
(4 - 8) = -4
Has two complex solutions.
{{{ graph( 300, 300, -5, 5, -5, 5, -x^2 - 2x - 2) }}}