4x^2 - 4x + 3 + 0
- b +/- sqrt( b^2 - 4ac) - ( - 4) +/- sqrt(( - 4)^2 - 4*4*3 )
x = --------------------------- = ------------------------------------------
2a 2*4
4 +/- sqrt(16 - 48) 4 +/- sqrt( - 32) 4 +/- sqrt( - 16*2)
x = ------------------------ = ----------------------- = -------------------------- =
8 8 8
sqrt ( - 16*2) = sqrt (16*2*( -1)) = 4sqrt( - 1)*sqrt2 = 4isqrt2
sqrt( - 1 ) = i
4 +/- 4isqrt2 4( 1 +/- isqrt2)
x = --------------------- = -------------------------
8 8
x = ( 1 + isqrt2)/2 and x = ( 1 - isqrt2)/2