Question 42348
Discriminant: {{{b^2 - 4ac}}}
{{{x^2 - 8x + 7 = 0}}}
a=1 b=-8 c=7
{{{b^2 - 4ac}}}
{{{64 - 28}}}
{{{36}}}
Since the disciminant is positive, there are two real solutions.
{{{ graph( 600, 600, -10, 10, -10, 10, x^2 - 8x + 7, 0) }}}
{{{x^2 - 8x + 7 = 0}}}
{{{(x - 7)(x - 1) = 0}}}
{{{x = 7}}} and {{{x = 1}}}