For f(x) = -4x2 - 3x + 2 a = -4 b = -3 c = 2
The quadratic formula is: x = [ -b +/- sqrt( b2 - 4·a·c ) ] / [2·a]
Substituting: x = [ - -3 +/- sqrt( (-3)2 - 4·(-4)·(2) ) ] / [2·(-4)]
x = [ 3 +/- sqrt( 9 + 32 ) / ( -8 )
x = [ 3 +/- sqrt( 41 ) ] / -8
x = [ -3 +/- sqrt( 41 ) ] / 8