Hello :
1) x²-6x = -2
x²-6x+2=0
x²-2(3)x+9-9+2 =0
(x-3)² -7 = 0
(x-3)²=(√7)²
x-3 =√7 or x-3 = - √2
x=3+√2 or x= 3-√2
2) x²-6x = -7
x²-6x+7=0
x²-2(3)x+9-9+7 =0
(x-3)² -7 = 0
(x-3)²=(√7)²
x-3 =√7 or x-3 = - √7
x=3+√7 or x= 3-√7
3 )
x²-6x = 1
x²-6x-1=0
x²-2(3)x+9-9-1 =0
(x-3)² -10 = 0
(x-3)²=(√10)²
x-3 = √10 or x-3 = - √10
x=3+ √10 or x= 3- √10
the range is : {3+√2,3-√2 ,3+√7,3-√7 ,3+ √10 , 3- √10 }
