10y/(3y-2)(3y+2) +(y-5)/(3y+2) +(y-3)/(3y-2)=0
10y+(3y-2)(y-5)+(y-3)(3y+2)=0
10y+3y²-15y-2y+10+3y²+2y-9y-6=0
6y²-14y+4=0
D=196-96=100
y1=(14-10)/12=1/3
y2=(14+10)/12=2
4) cos (3x)= 1-`;
3x = pi+2pik;
x = pi/3 + 3pik/3;
5) sin(x+ pi/4) = -1;
x+pi/4 = - pi + 2pik;
x = - 5pi/4 + 2pik = 3pi/4 + 2pik.
6) sin(3x + pi/3) = 0;
3x + pi/3 = pi*k;
3x = pi*k - pi/3;
3x = pik/3 + pi/9.
7) 4 cos a = 0;
cos a = 4; a = pi/2 + pik; k-Z.
8) 5 cos a - 5 = 0;
cos a = 1;
a = 2pik; k-Z.
X^4-2^6=(x^2)^2-(2^3)^2=(x^2-8)(x^2+8). 2^6=64. используем формулу разности квадратов.
<span> (3х^-1/4y^-3) * 6xy^2=3/x*y³/4*6xy²=3y³/4x*6xy²=4.5y⁵</span>