Хд-в час 2,х+9д-в час 1
112/х-112/(х+9)=4
4х²+36х-112(х+9-х)=0
4х²+36х-1008=0
х²+9х-252=0
х1+х2=-9 и х1*х2=-252=0
х1=-21 не удов усл
х2=12д-в час 2 рабочий
3х-3-2х+12=4-х-3
3х-2х+х=4-3+3-12
2х=-8
Х=-4
Ответ : х=-4
(0.25*25)*(а⁴*а³)*(х³*х⁻⁴)=6.15а⁷х⁻¹
(5*5²)*(а⁻⁵*а³)*(х⁶/х⁷)=5³а⁻²х⁻¹=125а⁻²х⁻¹
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Разложим на множители многочлен ![(x+1)^6-x^6-2x-1](https://tex.z-dn.net/?f=%28x%2B1%29%5E6-x%5E6-2x-1)
![(x+1)^6-x^6-2x-1=(x+1)^6-(x^6+2x+1)=\\ \\ =(x+1)^6-(x^6+x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2+x+1)=\\ \\ (x+1)^6-(x^5(x+1)-x^4(x+1)+x^3(x+1)-x^2(x+1)+x(x+1)+x+1)=\\ \\ =(x+1)^6-(x+1)(x^5-x^4+x^3-x^2+x+1)=\\ \\ =(x+1)((x+1)^5-x^5+x^4-x^3+x^2-x-1)=\\ \\ =(x+1)(x^5+5x^4+10x^3+10x^2+5x+1-x^5+x^4-x^3+x^2-x-1)=\\ \\ =(x+1)(6x^4+9x^3+11x^2+4x)=(x+1)x(6x^3+9x^2+11x+4)=](https://tex.z-dn.net/?f=%28x%2B1%29%5E6-x%5E6-2x-1%3D%28x%2B1%29%5E6-%28x%5E6%2B2x%2B1%29%3D%5C%5C%20%5C%5C%20%3D%28x%2B1%29%5E6-%28x%5E6%2Bx%5E5-x%5E5-x%5E4%2Bx%5E4%2Bx%5E3-x%5E3-x%5E2%2Bx%5E2%2Bx%2B1%29%3D%5C%5C%20%5C%5C%20%28x%2B1%29%5E6-%28x%5E5%28x%2B1%29-x%5E4%28x%2B1%29%2Bx%5E3%28x%2B1%29-x%5E2%28x%2B1%29%2Bx%28x%2B1%29%2Bx%2B1%29%3D%5C%5C%20%5C%5C%20%3D%28x%2B1%29%5E6-%28x%2B1%29%28x%5E5-x%5E4%2Bx%5E3-x%5E2%2Bx%2B1%29%3D%5C%5C%20%5C%5C%20%3D%28x%2B1%29%28%28x%2B1%29%5E5-x%5E5%2Bx%5E4-x%5E3%2Bx%5E2-x-1%29%3D%5C%5C%20%5C%5C%20%3D%28x%2B1%29%28x%5E5%2B5x%5E4%2B10x%5E3%2B10x%5E2%2B5x%2B1-x%5E5%2Bx%5E4-x%5E3%2Bx%5E2-x-1%29%3D%5C%5C%20%5C%5C%20%3D%28x%2B1%29%286x%5E4%2B9x%5E3%2B11x%5E2%2B4x%29%3D%28x%2B1%29x%286x%5E3%2B9x%5E2%2B11x%2B4%29%3D)
![=x(x+1)(6x^3+3x^2+6x^2+3x+8x+4)=\\ \\ =x(x+1)(3x^2(2x+1)+3x(2x+1)+4(2x+1))=x(x+1)(2x+1)(3x^2+3x+4)](https://tex.z-dn.net/?f=%3Dx%28x%2B1%29%286x%5E3%2B3x%5E2%2B6x%5E2%2B3x%2B8x%2B4%29%3D%5C%5C%20%5C%5C%20%3Dx%28x%2B1%29%283x%5E2%282x%2B1%29%2B3x%282x%2B1%29%2B4%282x%2B1%29%29%3Dx%28x%2B1%29%282x%2B1%29%283x%5E2%2B3x%2B4%29)
Т.е. многочлен
делится на
только при a = 0, a = -1 и a = -1/2