Х-473=389
х=473+389
х=862
проверка:
862-473=389
389=389
1) точка пересечения параболы и оси Оу
![y= x^{2} -2x+2, \ Oy: \ x=0, \\ y=2. \\ (0;2).](https://tex.z-dn.net/?f=y%3D%20x%5E%7B2%7D%20-2x%2B2%2C%20%5C%20Oy%3A%20%5C%20x%3D0%2C%20%5C%5C%20y%3D2.%20%5C%5C%20%280%3B2%29.)
2) уравнение касательной
![y= x^{2} -2x+2, \ x_0=0, \ y_{x_0}=2, \\ y'=2x-2, \\ y'_{x_0}=-2, \\ y=y_{x_0}+y'_{x_0}(x-x_0)=2-2(x-0)=2-2x. ](https://tex.z-dn.net/?f=y%3D%20x%5E%7B2%7D%20-2x%2B2%2C%20%5C%20x_0%3D0%2C%20%5C%20y_%7Bx_0%7D%3D2%2C%20%5C%5C%20y%27%3D2x-2%2C%20%5C%5C%20y%27_%7Bx_0%7D%3D-2%2C%20%5C%5C%20y%3Dy_%7Bx_0%7D%2By%27_%7Bx_0%7D%28x-x_0%29%3D2-2%28x-0%29%3D2-2x.%0A)
3) точка пересечения параболы и прямой х=1
![y= x^{2} -2x+2, \ x=1; \\ y=1-2+2=1, \\ (1;1).](https://tex.z-dn.net/?f=y%3D%20x%5E%7B2%7D%20-2x%2B2%2C%20%5C%20x%3D1%3B%20%5C%5C%20y%3D1-2%2B2%3D1%2C%20%5C%5C%20%281%3B1%29.)
4) площадь
![\int\limits_0^1 {(x^{2} -2x+2-(2-2x))} \, dx = \int\limits_0^1 {(x^{2} -2x+2-2+2x)} \, dx = \int\limits_0^1 {x^{2}} \, dx =\\= \frac{x^3}{3}|_0^1 = \frac{1^3}{3}-0=\frac{1}{3}.](https://tex.z-dn.net/?f=%20%5Cint%5Climits_0%5E1%20%7B%28x%5E%7B2%7D%20-2x%2B2-%282-2x%29%29%7D%20%5C%2C%20dx%20%3D%20%20%5Cint%5Climits_0%5E1%20%7B%28x%5E%7B2%7D%20-2x%2B2-2%2B2x%29%7D%20%5C%2C%20dx%20%3D%20%5Cint%5Climits_0%5E1%20%7Bx%5E%7B2%7D%7D%20%5C%2C%20dx%20%3D%5C%5C%3D%20%5Cfrac%7Bx%5E3%7D%7B3%7D%7C_0%5E1%20%3D%20%5Cfrac%7B1%5E3%7D%7B3%7D-0%3D%5Cfrac%7B1%7D%7B3%7D.)
1. 9 2/3 -x = 50/51*17/35*3,5
29/3-x=50/3*1/35*7/2
29/3-x=25/3*1/5
29/3-x=5/3
-x=5/3-29/3
-x=-8
x=8
64^(1/х) – 2^(3+3/х) + 12 = 0
пусть 1/х=t , t≠0
64^t – 2^(3+3t) + 12 = 0
2^6t – 2^3 · 2^3t + 12 = 0
пусть 3t=a , a≠0
2^2a – 8 · 2^a + 12 = 0
(2^a)² – 8(2^a) + 12 = 0
пусть 2ª=m , m>0
m² – 8m + 12 = 0
m= 6
m= 2
2ª= 6 ; a=log2(6)
2ª= 2 ; a= 1
3t = log2(6) ; t = log8(6)
3t = 1 ; t = 1/3
1/x = log8(6)
1/x = 1/3
x = log6(8)
x = 3
1)(12+6)•2=38(см)-S
2)12•6=72(см)-P