Question 333763
{{{11x^2-7x-14=0}}}
The formula is 
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
The discriminant is
{{{ b^2-4*a*c }}}
Where 
{{{b = -7}}}
{{{a = 11}}}
{{{c = -14}}}
{{{(-7)^2 - 4*11*(-14) = 49 +392 }}}
{{{49 + 392 = 441}}}
{{{sqrt(441) = 21}}}
Since the discriminant is positive ({{{441}}}), and it is not zero,
there are 2 real solutions
If the discriminant were zero, there would be 1 real solution.