Rewrite 4x^2-3x+9=2x+1 as 4x^2-5x+8 = 0
Here, a = 4, b = -5 and c = 8. Then,
5 plus or minus sqrt (25 -4(4)(8) )
x = ------------------------------------------------------
8
5 plus or minus sqrt (-103)
= --------------------------------------
8
5 plus or minus i*sqrt(103)
Then x = ----------------------------------------
8
= ---------------------------------------------
8
= ----------------------------