1) 25*24*23*22=303600 способов
2) 4+3+2+1=10 способов
Будем решать по формуле
![(x-x1)(x-x2)](https://tex.z-dn.net/?f=%28x-x1%29%28x-x2%29)
,где х1 и х2 заданные корни
![\\ \\ (x+4)(x-2)=x^2-2x+4x-8=x^2+2x-8](https://tex.z-dn.net/?f=+%5C%5C++%5C%5C+%28x%2B4%29%28x-2%29%3Dx%5E2-2x%2B4x-8%3Dx%5E2%2B2x-8)
X+5*x=36 меньшая сторона x большая 5*x 36 полупериметр
6*х=36 х=36/6=6 5*6 =30 .большая сторона 30
![\displaystyle (8x^2 - 3x+1)^2 = 32x^2 - 12x+1\\ \\ (8x^2 - 3x+1)^2 -32x^2 +12x - 1 = 0\\ \\ \ z =8x^2 -3x \\ \\ -(4z+1) +(z^2 +2z+1)=0\\ \\ -4z-1+z^2 +2z+1=0\\ \\ -2z+z^2 =0\\ \\ -z *(2-z)=0\\ \\ -z = 0\\ \\ 2-z=0\\ \\ z = 0 \\ z=2\\](https://tex.z-dn.net/?f=+%5Cdisplaystyle+%288x%5E2+-+3x%2B1%29%5E2+%3D+32x%5E2+-+12x%2B1%5C%5C+%5C%5C+%288x%5E2+-+3x%2B1%29%5E2+-32x%5E2+%2B12x+-+1+%3D+0%5C%5C+%5C%5C+%5C+z+%3D8x%5E2+-3x+%5C%5C+%5C%5C++-%284z%2B1%29+%2B%28z%5E2+%2B2z%2B1%29%3D0%5C%5C+%5C%5C+-4z-1%2Bz%5E2+%2B2z%2B1%3D0%5C%5C+%5C%5C+-2z%2Bz%5E2+%3D0%5C%5C+%5C%5C+-z+%2A%282-z%29%3D0%5C%5C+%5C%5C+-z+%3D+0%5C%5C+%5C%5C+2-z%3D0%5C%5C+%5C%5C+z+%3D+0+%5C%5C+z%3D2%5C%5C++)
![\displaystyle 8x -3 =0\\ \\ 8x^2-3x -2 =0 \\ \\ 1) x= 3/8\\ \\\\ 2)\ 8x^2-3x -2 \\ D= (-3)^2 - 4 *8*(-2) =73 \\ \\ x _1_,_2 =\frac{3б\sqrt{73}}{16} \\ \\](https://tex.z-dn.net/?f=+%5Cdisplaystyle++8x+-3+%3D0%5C%5C+%5C%5C+8x%5E2-3x+-2+%3D0+%5C%5C+%5C%5C++1%29++x%3D+3%2F8%5C%5C++%5C%5C%5C%5C++2%29%5C+8x%5E2-3x+-2+%5C%5C+D%3D+%28-3%29%5E2+-+4+%2A8%2A%28-2%29+%3D73+%5C%5C+%5C%5C+x+_1_%2C_2+%3D%5Cfrac%7B3%D0%B1%5Csqrt%7B73%7D%7D%7B16%7D+%5C%5C+%5C%5C+++)
ответ: x 1 = ( 3 - sqrt(73)) / 16 , x2 =0 , x3=3/8 , x4= (3+sqrt(73))/16
7,8 ; 5,045 ; 0,059; 78,01; 4,00601; 76,0032