<span>2sin (4pi/3-x) -sin (4pi/3+x)= 0
-2sin(</span>π/3-x)+sin(π/3+x)=0
-2sinπ/3cosx+2cosπ/3sinx+sinπ/3cosx+cosπ/3sinx=
=-sinπ/3cosx+3cosπ/3sinx=-√3/2*cosx+3*1/2*sinx=-√3/2cosx+3/2*sinx
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-√3/2cosx+3/2*sinx=0/cosx
3/2*tgx-√3/2=0
3/2*tgx=√3/2
tgx=-√3/3
x=-π/6+πk,k∈z
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3пи/8. —пи/8= 2пи/8 а это равно пи/4 синус навен √2/2
6x-x²=x
6x-x-x²=0
5x-x²=0
x(5-x)=0
1) x=0
2) 5-x=0
x=5
Ответ: 0; 5.