Question

Решите уравнение:
(Х-1)²-(Х-2)×(Х+2)=Х-4

Answer 1

(х-1)²-(х-2)(х+2)=х-4
1) (x-1)²=(x-1)(x-1)=x²-x-x+1=x²-2x+1
2) (x-2)(x+2)=x²+2x-2x-4=x²-4
3) (x²-2x+1)-(x²-4)=x-4
x²-2x+1-x²+4-x+4=0
-3x+9=0
-3x=-9
x=9/3=3