x²– 6x = –1
x²-6x+1=0, a=1, b=-6, c=1
A. Discriminant
D=b² - 4ac= 36-4*1*1=32, D>0, so this equation has 2 real solutions
to find the x we need to use formula
B.
[tex]x= \frac{-b+/- \sqrt{D} }{2a}
\sqrt{D} = \sqrt{32} = \sqrt{(16*2)} =4 \sqrt{2} ,
\sqrt{D} =4 \sqrt{2} , irrational,
so roots of the equation are going to be real irrational.
[/tex]
C.x=(-b+/-√D)/2a, x1=(6+4√2)/2 = 3+2√2=5.8 , x2=(6-4√2)/2=3-2√2=0.2
