1) = с²-3с+2с-6-с²-3с+с+3= -3с-3
2) = p²-11p+4p-44+р²+12р+36=2р²+5р-8
3)= 3(х²-10х+25)-8х²+10х= 3х²-30х+75-8х²+10х= -5х²-20х+75
4)= 7(4у²-20у+25)-2(49у²-14у+1)=28у²-140у+175-98у²+28у-2=70у²-112у+173
1) sin2x=1
2x=π/2 + 2πk
x=π/4 + πk, k∈Z
2) cos2x=1/2
2x=(+/-) π/3 + 2πk
x=(+/-) π/6 + πk, k∈Z.
3) 2sinx=√3
sinx=√3/2
x=(-1)^k * (π/3) + πk, k∈z.
4) - cosx-1=0
cosx= -1
x=π + 2πk, k∈Z.
504.
5+х>3x-3(4x+5)
5+x>3x-12x-15
x+9x>-15-5
10x>-20
x>-2
506.
5(x+4)<2(4x-5)
5x+20<8x-10
5x-8x<-10-20
-3x<-30
x>10
508.
x+2<5x-2(x-3)
x+2<5x-2x+6
x-3x<6-2
-2x<4
x>-2
510.
4(x-1)-(9x-5)≥3
4x-4-9x+5≥3
-5x≥3-1
-5x≥2
x≤-0.4
512.
3(x-2)-5(x+3)>27
3x-6-5x-15>27
-2x>27+21
-2x>48
x<-24
0,2х+(5000-х)0,15=850 0,2х+750-0,15х=850 0,05х=100 х=2000 2000-на 20% 3000-на15%