4х2 - 4х -1 = 0
D=16-4*4*(-1)=16+16=32
x1=(4+4sqr(2))^8=(1+sqr(2))/2=0.5+0.5sqr(2)
x2=(4-4sqr(2))^8=(1-sqr(2))/2=0.5-0.5sqr(2)
4х2 - 4х -1=4(x-0.5-0.5sqr(2))(x+0.5+0.5sqr(2))
х2 - 6х +1 = 0
D=36-4*1=32
x1=(6+4sqr(2))/2=3+2sqr(2)
x2=(6-4sqr(2))/2=3-2sqr(2)
x2-6x+1=(x-3-2sqr(2))(x+3-2sqr(2))
4х2 -12х +7 = 0
D=144-4*4*7=32
x1=(12+4sqr(2))/8=1.5+0.5sqr(2)
x2=(12+4sqr(2))/8=1.5+0.5sqr(2)
4х2 -12х +7=4(x-1.5-0.5sqr(2))(x-1.5+0.5sqr(2))