0.75(12x-4)-x-1/2x-1=0
9x-3-x-1/2x-1=0
8x-4/2x-1=0 домножим на знаменатель 2x-1
8x-4=0
8x=4/8
x=1/2 или 0,5
![1+\sin \leftx\right+\cos \leftx\right+\sin \left2x\right+\cos \left2x\right=0 \\ 1+\cos \left2x\right+\cos \leftx\right+\sin \leftx\right+2\cos x\leftx\right\sin x\leftx\right=0 \\ \cos \left x\right +\sin \left x\right+2\cos ^2\leftx\right+2\cos \left x\right\sinx \leftx\right=0 \\ \left(2\cos \left(x\right)+1\right)\left(\sin \left(x\right)+\cos \left(x\right)\right)=0](https://tex.z-dn.net/?f=1%2B%5Csin+%5Cleftx%5Cright%2B%5Ccos+%5Cleftx%5Cright%2B%5Csin+%5Cleft2x%5Cright%2B%5Ccos+%5Cleft2x%5Cright%3D0+%5C%5C+1%2B%5Ccos+%5Cleft2x%5Cright%2B%5Ccos+%5Cleftx%5Cright%2B%5Csin+%5Cleftx%5Cright%2B2%5Ccos+x%5Cleftx%5Cright%5Csin+x%5Cleftx%5Cright%3D0+%5C%5C+%5Ccos+%5Cleft+x%5Cright+%2B%5Csin+%5Cleft+x%5Cright%2B2%5Ccos+%5E2%5Cleftx%5Cright%2B2%5Ccos+%5Cleft+x%5Cright%5Csinx+%5Cleftx%5Cright%3D0+%5C%5C+%5Cleft%282%5Ccos+%5Cleft%28x%5Cright%29%2B1%5Cright%29%5Cleft%28%5Csin+%5Cleft%28x%5Cright%29%2B%5Ccos+%5Cleft%28x%5Cright%29%5Cright%29%3D0)
2cos(x)+1=0 sin(x)+cos(x)=0
cos(x)= - 1/2
![\cos \left(x\right)=-\frac{1}{2} ;x=\frac{2\pi }{3}+2\pi n,\:\quad x=\frac{4\pi }{3}+2\pi n \\ sin(x)+cos(x)=0;\quad x=\frac{3\pi }{4}+\pi n](https://tex.z-dn.net/?f=%5Ccos+%5Cleft%28x%5Cright%29%3D-%5Cfrac%7B1%7D%7B2%7D+%3Bx%3D%5Cfrac%7B2%5Cpi+%7D%7B3%7D%2B2%5Cpi+n%2C%5C%3A%5Cquad+x%3D%5Cfrac%7B4%5Cpi+%7D%7B3%7D%2B2%5Cpi+n+%5C%5C+++sin%28x%29%2Bcos%28x%29%3D0%3B%5Cquad+x%3D%5Cfrac%7B3%5Cpi+%7D%7B4%7D%2B%5Cpi+n)
![Otvet:x=\frac{2\pi }{3}+2\pi n,\:x=\frac{3\pi }{4}+\pi n,\:x=\frac{4\pi }{3}+2\pi n](https://tex.z-dn.net/?f=Otvet%3Ax%3D%5Cfrac%7B2%5Cpi+%7D%7B3%7D%2B2%5Cpi+n%2C%5C%3Ax%3D%5Cfrac%7B3%5Cpi+%7D%7B4%7D%2B%5Cpi+n%2C%5C%3Ax%3D%5Cfrac%7B4%5Cpi+%7D%7B3%7D%2B2%5Cpi+n)
1) 6*((1/4)-(1/3))=6*((3/12)-(4/12))=6*(-1/12)=-0.5
2) x^2-2x-8=0
По теореме Виета: x1=-2; x2=4. Ответ: 4
3) (x^2-3x+2)/(x-1)=((x-2)(x-1))/(x-1)=(x-2)
Если x=0.3, то в ответе -1.7
4) а) 0.2; б)~8.74; в) 19; г) 1.5 В ответе: в)
Y1=6, y2=4, y3=2, y4=4/3, y5=2/3, y6=0, y7= -2/3, y8= -4/3, y9= -2, y10= -4