4x²-x-9=0
x²-1/4*x-9/4=0
x²-1/4*x+1/64=9/4+1/64
(x-1/8)²=145/64
x-1/8=±√145/8√
∴x=1/8±√145/8
∴x1=(1-√145)/8,x2=(1+√145)/8