(1)
x²-5x=-4
x²-5x+4=0
(x-1)(x-4)=0
x=1或x=4
(2)
2x²-3x-1=0
Δ=(-3)²-4*2*(-1)=17
x=(3±√17)/4
(3)
(x-1)(x+1)=x
x²-1=x
x²-x-1=0
Δ=(-1)²-4*1*(-1)=5
x=(1±√5)/2
(4)
x(2x+5)=2(2x+5)
(x-2)(2x+5)=0
x=2或x=-5/2
(5)
(2x-1)²=4(x+3)²
(2x-1)²-4(x+3)²=0
[(2x-1)-2(x+3)][(2x-1)+2(x+3)]=0
-7(4x+5)=0
x=-5/4
(6)
3(x-2)²-9=0
(x-2)²-3=0
(x-2)²=3
x-2=±√3
x=2±√3
