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Sin(5x-π/3)-sinx=0
![2sin \frac{5x-x- \pi /3}{2} *cos \frac{5x- \pi /3+x}{2} =0](https://tex.z-dn.net/?f=2sin+%5Cfrac%7B5x-x-+%5Cpi+%2F3%7D%7B2%7D+%2Acos+%5Cfrac%7B5x-+%5Cpi+%2F3%2Bx%7D%7B2%7D+%3D0)
![2sin \frac{4x- \pi /3}{2} *cos \frac{6x- \pi /3}{2} =0](https://tex.z-dn.net/?f=2sin+%5Cfrac%7B4x-+%5Cpi+%2F3%7D%7B2%7D+%2Acos+%5Cfrac%7B6x-+%5Cpi+%2F3%7D%7B2%7D+%3D0)
2sin(2x-π/6)*cos(3x-π/6)=0
sin(2x-π/6)=0
2x-π/6=πn
2x=πn+π/6
x=πn/2+π/12
cos(3x-π/6)=0
3x-π/6=πn/2
3x=πn/2+π/6
x=πn/6+π/18
1)x-5y=2
x=2+5Y
(2+5y)²-y=10
4+20y+25y-y=10
44y=6
y=6/44
y=3/22
Б
2<x<4
8<y<10
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16<xy<40
в
2<x<4
-10<-y<-8
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-8<x-y<-4
г
8<y<10
1/4<1/x<1/2
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2<y/x<5
д
-20<-2y<-16
4<x²<16
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-16<-2y+x²<0
1)81c²-d²+9c+d=(9с)²-d²+9c+d=(9c-d)(9c+d)+(9c+d)=<span>(9c+d)(</span><span><span>9c-d+1);
</span>2)a²+8ab+16-1=</span>a²+2*4ab+4²-1=<span>(а + 4b)²-1 =(а + 4b - 1)(а + 4b+1);
3)ax⁶-3x⁶-ax³+3x³=</span><span>x³(ax³-3x³-a+3)=x³(x³(a-3)-(a-3))=x³(x³-1)(a-3);
4)25-m²-12mn-36n²=</span><span>25-(36n²+12mn+m²)= 5²-(6n+m)²=(5-6n-m)(5+6n+m).</span>