6(x-1)²+2(x³-1)-2(x+1)³=26
6x²-12x+6+2x³-2-2x³-6x²-6x-2-26=0
-18x=24
x=-4/3
1) 1001^2 - 2002•101 + 101^2 = ( 1001 - 101 )^2
2) 1001^2 - 101^2 = ( 1001 - 101 )( 1001 + 101 )
3) ( ( 1001 - 101 )^2 ) : ( ( 1001 - 101 )( 1001 + 101 )) = ( 1001 - 101 ) : ( 1001 + 101 ) = 900 : 1102 = 450/551
3 - 4sin²(3x + π/3) = 0
3 = 4sin²(3x + π/3)
sin²(3x + π/3) = 3/4
sin(3x + π/3) = ±√3/2
1) sin(3x + π/3) = √3/2
3x + π/3 = (-1)ⁿπ/3 + πn, n ∈ Z
x = (-1)ⁿπ/9 - π/9 + πn/3, n ∈ Z
2) sin(3x + π/3) = -√3/2
3x + π/3 = (-1)ⁿ+¹π/3 + πn, n ∈ Z
x = (-1)ⁿ+¹π/9 - π/9 + πn/3, n ∈ Z
2икс + 3икс=1
5икс=1
Икс=0,2