8х=8/3п+2пк
Х=п/3+16пк
4/3х=8/9п+2пк
Х=2/3п+3/2пк
5/8х=п/8+2пк
П/5+16/5пк=x
Tg2x*tg7x=1
{cos2x≠0⇒x≠π/4+πn/2
{cos7x≠0⇒x≠π/14+πn/7,n∈z
sin2x*sin7x/cos2x*cos7x=1
sin2xsin7x=cos2xcos7x
cos7ccos2x-sin7xsin2x=0
cos(7x+2x)=0
cos9x=0
9x=π/2+πk
x=π/18+πk/9,n∈z
1){x=π/18+πk/9,k∈z
{x≠π/4+πn/2,n∈z
π/18+πk/9≠π/4+πn/2
2(1+2k)≠9+18n
4k≠7+18n
чет нечет
Равенство не возможно,значит x=π/18+πk/9,n∈z
2){x=π/18+πk/9
{x≠π/14+πn/7
π/18+πk/9≠π/14+πn/7
7+14k≠9+18n
7k≠1+9n
n=(7k-1)/9
Равенство возможно при k=4+9p,p∈z
Ответ x=π/18+πk/9,k≠4+9p,p∈z
1)a(a+2b)-(b+a)^2=a^2+2ab-(b^2+2ab+a^2)=a^2+2ab-b^2-2ab-a^2= -b^2
2)3(b-1)^2+8b=3(b^2-2b+1)+8b=3b^2-6b+3+8b=3b^2+2b+3
3)2с(8с-3)-(4с+1)^2= 16c^2-6c-(16c^2+8c+1)=<span><u>16c^2</u>-6c-<u>16c^2</u>-8c-1= -14c-1
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