Звести дріб 5. до знаменника x2-xa
x-4

Думаю что будет так: 1)4x-2=0 4x=2 x=2/4 x=1/2 4x-2=-4 4x=-4+2=-2 x=-2/4 x=-1/2 2)x(2x-3)=0 x1=0 2x2-3=0 2x2=3|:2 x2=1,5 x(2x-3)=-4 2x²-3x+4=0 D=(-3)²-4*2*4=9-32=-23-решений нет. 3)x-1/х²+5=0 |*x² не=0 х не=0 х-1+5х²=0 D=1²-4*5*(-1)=1+20=21=√21 x1=(-1+√21)/2*5 x1=(√21-1)/10 x2=(-1-√21)/10 x-1/x²+5=-4 x-1+5x²=-4x² 9x²+x-1=0 D=1²-4*9*(-1)=1+36=37=√37 x1=(-1+√37)/18 x2=(-1-√37)/18 4)x+2/x²+5=0|* x² не=0 х не =0 х+2+5х²=0 D=1²-4*5*2=1-40=-39-нет решения D<0 х+2+5х²=-4х² х+2+9х²=0 D=1²-4*9*2=1-72=-71-решений нет D<0

1) tga - tgb = (sin(a-b))/(cosa*cosb)
sin(π/4 + α/2 - π/4 + α/2)/(cos(π/4 + α/2)*cos(π/4 - α/2)) = sin(α)/((cos(π/4)*cos(α/2) - sin(π/4)*sin(α))*(cos(π/4)*cos(α) + sin(π/4)*sin(α)) = (sinα)/(√2(cosα - sinα)/2)*(√2(cosα+sina)/2) = 2sinα/(cos^2(α) - sin^2(α)) = 2sina/cos(2α)
2) sinx + cosx = 2sin(x)*cos(0) = 2sinx
3) sin(5x)*sin(3x) = 0.5*(cos(5x - 3x) - cos(5x + 3x)) = 0.5*(cos(2x) - cos(8x)) = 0.5cos(2x) - 0.5cos(8x)
4) cos18*cos66 = 0.5*(cos(18 - 66) + cos(18 + 66)) = 0.5*(cos(-48) + cos(84)) = 0.5cos48 + 0.5cos84