Question 45993
Discriminant: {{{b^2 - 4ac}}}
1.) m^2 - 4m - 4 = 0
{{{b^2 - 4ac}}}
{{{16 + 16}}}
{{{32}}}
Since the discriminant is positive, you will have two real roots.
{{{ graph(600,600,-10,10,-10,10,x^2-4x-4) }}}
2.) 6y^2 = 4y -7
6y^2 - 4y + 7 = 0
{{{b^2 - 4ac}}}
{{{16 - 168}}}
{{{-152}}}
Since the discriminant is negative, your roots are imaginery.
{{{ graph(600,600,-10,10,-10,10,6x^2-4x+7) }}}