Question

( x - 1 ) (x - 2) = 6

Answer 1

(x-1)*(x-2)=6

x²-2x-x+2=6

x²-3x+2=6

x²-3x+2-6=0

x²-3x-4=0

D=(-3)²-4*1*(-4)=9+16=25=5²

x=3±5/2

x₁=4

x₂=-1