( x + y)^3(x - y)^2 = (x^2 - y^2)^2(x + y)
(x+ y)(x + y)^2(x - y)^2 = (x^2 - y^2)^2(x + y)
(x^2 - y^2)^2(x + y) = (x^2 - y^2)^2(x+ y) - верно,тождество доказано.
Uu-4u+3u-12=-10
uu-u=2
2×2-2=2
u=2
X^2+8x+16 = (x+4)^2
(x-1)(x+4)^2-6(x+4) = 0
(x+4)((х-1)(х+4)-6) = 0
х+4=0, или (х-1)(х+4)-6 = 0
х= -4 x^2+4x-x-4-6 = 0
x^2+3x-10 = 0
D = 9 + 40 = 49
x1 = (-3+7) /2 = 2
x2 = (-3-7)/2 = -5
Ответ: х1 = -4; х2 = 2; х3 = -5
2х + 3y = 5
2x = 5 - 3y
y = 7 / ( 1 - 2x )
1 - 2x не равен 0 ; х не равен 0,5
1 - 2х = 7 / y
2x = 1 - ( 7 / y ) = ( y - 7 ) / y
5 - 3y = ( y - 7 ) / y
y не равен 0
y - 7 = y( 5 - 3y )
y - 7 = 5y - 3y^2
3y^2 - 4y - 7 = 0
D = 16 + 84 = 100 = 10^2
y1 = ( 4 + 10 ) : 6 = 7/3
y2 = ( 4 - 10 ) : 6 = - 1
y1 • y2 = ( 7/3 ) • ( - 1 ) = - 7/3 = - 2 1/3
Ответ ( - 2 1/3 )
2cos2acosa+cos2a=cos2a(2cosa+1)=cos7π/3(2cos7π/6+1)=
=cos(2π+π/3)(2cos(π+π/6)+1)=cosπ/3(-2cosπ/6+1)=1/2(-√3+1)=(1-√3)/2