По рисунку
![a_{1}](https://tex.z-dn.net/?f=+a_%7B1%7D+)
=1, d=2
![a_{20}](https://tex.z-dn.net/?f=+a_%7B20%7D+)
=?
![a_{30}](https://tex.z-dn.net/?f=+a_%7B30%7D+)
=?
![a_{n} = a_{1} +(n-1)*d](https://tex.z-dn.net/?f=a_%7Bn%7D+%3D+a_%7B1%7D+%2B%28n-1%29%2Ad)
подставляем
![a_{20} =1+(20-1)*2=1+19*2=1+38=39](https://tex.z-dn.net/?f=+a_%7B20%7D+%3D1%2B%2820-1%29%2A2%3D1%2B19%2A2%3D1%2B38%3D39)
![a_{30}](https://tex.z-dn.net/?f=+a_%7B30%7D+)
=1+(30-1)*2=1+29*2=1+58=59
2x-3y=-4/5 10x-15y=-20 19y=38 y=2
5x+2y=9 /2 10x+4y=18 x=(-4+3y)/2 x=1
1.
а) 5(а-2)^2+10а=5(а^2-4а+4)+10а=5а^2-20а+20+10а=5а^2-10а+20.
б) (x-3)^2-(x^2+9)=x^2-6x+9-(x-3)(x+3)=x^2-6x+9-x^2-3x+3x-9=6x.
2.
а) (x-3)(x+3)-x(x-5)=x^2+3x-3x+9-x^2+5x=9+5x/
б) (m-5)^2-(m-4)(m+4)=m^2-10m+25-m^2-4m+4m+16= -10m-41.
3.
(6а-1)(6а+1)=4а(9а+2)-1=36а^2-1-36а^2+8а-1= -1+8а-1= -2+8а=0
8а=2
а=2:8
а=0,25.