<span> 6x-2y=3
х=(3+2у):6
у=(3-6х):(-2)</span>
По т виета:
x1+x2=-(3k+2)/4
x1*x2=(k^2-1)/4
x1/x2=3
x1=3(x2)
x1*x2=3(x2)^2
(k^2-1)/4=3(x2)^2
x2=(-3k+2)/4-x1=-(3k+2)/4-3(x2)
4(x2)=(-3k+2)/4
x2=(-3k+2)/16
(k^2-1)/4=3(-3k+2)^2/16^2
64(k^2-1)=3(-3k+2)^2
64k^2-64=3(9k^2-12k+4)
64k^2-64=27k^2-36k+12
37k^2+36k-76=0
D=12544
k=(-36+-112)/74=38/37; -2
Ответ: 38/37; -2
2,1/6,6-2,4=2,1/4,2=1/2=0,5
A(t)=cos(t/2)
v(t)=∫cos(t/2)dt+C=2sin(t/2)+C
v(<span>2π/3)=2sin(</span><span>2π/6)+C</span>=√3
2sin(π/3)+C=√3
2*√3/2+C=√3
C=0
v(t)=2sin(t/2)
x(t)=∫2sin(t/2)dt+C=-4cos(t/2)+C
x(2π/3)=-4cos(2π/6)+C=2
-4cos(π/3)+C=2
-4/2+C=2
-2+C=2
C=4
x(t)=-4cos(t/2)+4