Question 67711
{{{7x^2+17x+6}}}
Equation:  
a = 7
b = 17
c = 6


Discriminant: {{{(b^2-4ac)}}} ={{{( 17^ 2-4*7*6)}}} = {{{121 )}}}

Discriminant (121) is greater than zero. The equation has two solutions.

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 



or
{{{x = (-17 +- sqrt( 17^2-4*7*6 ))/(2*7) }}} 

or

x1,2 = (-17 ± 11) / 2*7
or

x1 = -6 / 14 = -3/7
x2 = -28 / 14 = -2

or

x1,2 = -0.42, -2 

Expression factored: {{{(7x^2+17x+6)}}} = {{{(7(x+0.42)(x+2))}}}