Ответы
Ответ дал:
0
1)
![frac{x-4}{x+1} - frac{10}{x^2-1} = frac{3}{8} frac{x-4}{x+1} - frac{10}{x^2-1} = frac{3}{8}](https://tex.z-dn.net/?f=+frac%7Bx-4%7D%7Bx%2B1%7D+-+frac%7B10%7D%7Bx%5E2-1%7D+%3D+frac%7B3%7D%7B8%7D+)
![frac{x-4}{x+1} - frac{10}{(x-1)(x+1)} = frac{3}{8} frac{x-4}{x+1} - frac{10}{(x-1)(x+1)} = frac{3}{8}](https://tex.z-dn.net/?f=+frac%7Bx-4%7D%7Bx%2B1%7D+-+frac%7B10%7D%7B%28x-1%29%28x%2B1%29%7D+%3D+frac%7B3%7D%7B8%7D+)
![frac{(x-4)(x-1)-10}{(x+1)(x-1)} = frac{3}{8} frac{(x-4)(x-1)-10}{(x+1)(x-1)} = frac{3}{8}](https://tex.z-dn.net/?f=+frac%7B%28x-4%29%28x-1%29-10%7D%7B%28x%2B1%29%28x-1%29%7D+%3D+frac%7B3%7D%7B8%7D+)
![frac{ x^{2} -4x-x+4-10}{(x+1)(x-1)} = frac{3}{8} frac{ x^{2} -4x-x+4-10}{(x+1)(x-1)} = frac{3}{8}](https://tex.z-dn.net/?f=+frac%7B+x%5E%7B2%7D+-4x-x%2B4-10%7D%7B%28x%2B1%29%28x-1%29%7D+%3D+frac%7B3%7D%7B8%7D+)
![frac{ x^{2} -5x-6}{(x+1)(x-1)} = frac{3}{8} frac{ x^{2} -5x-6}{(x+1)(x-1)} = frac{3}{8}](https://tex.z-dn.net/?f=+frac%7B+x%5E%7B2%7D+-5x-6%7D%7B%28x%2B1%29%28x-1%29%7D+%3D+frac%7B3%7D%7B8%7D+)
ОДЗ:
![x neq -1 x neq -1](https://tex.z-dn.net/?f=x+neq+-1)
![{8( x^{2} -5x-6)=3(x+1)(x-1)} {8( x^{2} -5x-6)=3(x+1)(x-1)}](https://tex.z-dn.net/?f=%7B8%28+x%5E%7B2%7D+-5x-6%29%3D3%28x%2B1%29%28x-1%29%7D+)
![{8 x^{2} -40x-48=3(x^2-1) {8 x^{2} -40x-48=3(x^2-1)](https://tex.z-dn.net/?f=%7B8+x%5E%7B2%7D+-40x-48%3D3%28x%5E2-1%29)
![{8 x^{2} -40x-48-3x^2+3=0 {8 x^{2} -40x-48-3x^2+3=0](https://tex.z-dn.net/?f=%7B8+x%5E%7B2%7D+-40x-48-3x%5E2%2B3%3D0)
![5 x^{2} -40x-45=0 5 x^{2} -40x-45=0](https://tex.z-dn.net/?f=5+x%5E%7B2%7D+-40x-45%3D0)
![x^{2} -8x-9=0 x^{2} -8x-9=0](https://tex.z-dn.net/?f=x%5E%7B2%7D+-8x-9%3D0)
![D=(-8)^2-4*1*(-9)=100 D=(-8)^2-4*1*(-9)=100](https://tex.z-dn.net/?f=D%3D%28-8%29%5E2-4%2A1%2A%28-9%29%3D100)
![x_1= frac{8+10}{2} =9 x_1= frac{8+10}{2} =9](https://tex.z-dn.net/?f=x_1%3D+frac%7B8%2B10%7D%7B2%7D+%3D9)
∅
Ответ: 9
2)
![frac{x+1}{x-3} - frac{9}{x+3} = frac{24}{x^2-9} frac{x+1}{x-3} - frac{9}{x+3} = frac{24}{x^2-9}](https://tex.z-dn.net/?f=+frac%7Bx%2B1%7D%7Bx-3%7D+-+frac%7B9%7D%7Bx%2B3%7D+%3D+frac%7B24%7D%7Bx%5E2-9%7D+)
![frac{(x+1)(x+3)-9(x-3)}{(x-3)(x+3)} = frac{24}{(x-3)(x+3)} frac{(x+1)(x+3)-9(x-3)}{(x-3)(x+3)} = frac{24}{(x-3)(x+3)}](https://tex.z-dn.net/?f=+frac%7B%28x%2B1%29%28x%2B3%29-9%28x-3%29%7D%7B%28x-3%29%28x%2B3%29%7D++%3D+frac%7B24%7D%7B%28x-3%29%28x%2B3%29%7D+)
![frac{x^2+3x+x+3-9x+27}{(x-3)(x+3)} = frac{24}{(x-3)(x+3)} frac{x^2+3x+x+3-9x+27}{(x-3)(x+3)} = frac{24}{(x-3)(x+3)}](https://tex.z-dn.net/?f=+frac%7Bx%5E2%2B3x%2Bx%2B3-9x%2B27%7D%7B%28x-3%29%28x%2B3%29%7D++%3D+frac%7B24%7D%7B%28x-3%29%28x%2B3%29%7D+)
![frac{x^2-5x+30}{(x-3)(x+3)} = frac{24}{(x-3)(x+3)} frac{x^2-5x+30}{(x-3)(x+3)} = frac{24}{(x-3)(x+3)}](https://tex.z-dn.net/?f=+frac%7Bx%5E2-5x%2B30%7D%7B%28x-3%29%28x%2B3%29%7D++%3D+frac%7B24%7D%7B%28x-3%29%28x%2B3%29%7D+)
ОДЗ:
![x neq -3 x neq -3](https://tex.z-dn.net/?f=x+neq+-3)
![x^2-5x+30 ={24 x^2-5x+30 ={24](https://tex.z-dn.net/?f=x%5E2-5x%2B30++%3D%7B24)
![x^2-5x+30 -24=0 x^2-5x+30 -24=0](https://tex.z-dn.net/?f=x%5E2-5x%2B30+-24%3D0)
![x^2-5x+6=0 x^2-5x+6=0](https://tex.z-dn.net/?f=x%5E2-5x%2B6%3D0)
![D=(-5)^2-4*1*6=1 D=(-5)^2-4*1*6=1](https://tex.z-dn.net/?f=D%3D%28-5%29%5E2-4%2A1%2A6%3D1)
∅
![x_2= frac{5-1}{2}=2 x_2= frac{5-1}{2}=2](https://tex.z-dn.net/?f=x_2%3D+frac%7B5-1%7D%7B2%7D%3D2)
Ответ: 2
3)
![frac{x-3}{x+5} - frac{x-9}{x-1} = frac{48}{(x+5)(x-1)} frac{x-3}{x+5} - frac{x-9}{x-1} = frac{48}{(x+5)(x-1)}](https://tex.z-dn.net/?f=+frac%7Bx-3%7D%7Bx%2B5%7D+-+frac%7Bx-9%7D%7Bx-1%7D+%3D+frac%7B48%7D%7B%28x%2B5%29%28x-1%29%7D+)
ОДЗ:
![x neq -5 x neq -5](https://tex.z-dn.net/?f=x+neq+-5)
![frac{(x-3)(x-1)-(x-9)(x+5)}{(x+5)(x-1)} = frac{48}{(x+5)(x-1)} frac{(x-3)(x-1)-(x-9)(x+5)}{(x+5)(x-1)} = frac{48}{(x+5)(x-1)}](https://tex.z-dn.net/?f=+frac%7B%28x-3%29%28x-1%29-%28x-9%29%28x%2B5%29%7D%7B%28x%2B5%29%28x-1%29%7D++%3D+frac%7B48%7D%7B%28x%2B5%29%28x-1%29%7D+)
![frac{x^2-3x-x+3-x^2-5x+9x+45}{(x+5)(x-1)} = frac{48}{(x+5)(x-1)} frac{x^2-3x-x+3-x^2-5x+9x+45}{(x+5)(x-1)} = frac{48}{(x+5)(x-1)}](https://tex.z-dn.net/?f=+frac%7Bx%5E2-3x-x%2B3-x%5E2-5x%2B9x%2B45%7D%7B%28x%2B5%29%28x-1%29%7D++%3D+frac%7B48%7D%7B%28x%2B5%29%28x-1%29%7D+)
![frac{48}{(x+5)(x-1)} = frac{48}{(x+5)(x-1)} frac{48}{(x+5)(x-1)} = frac{48}{(x+5)(x-1)}](https://tex.z-dn.net/?f=+frac%7B48%7D%7B%28x%2B5%29%28x-1%29%7D++%3D+frac%7B48%7D%7B%28x%2B5%29%28x-1%29%7D+)
![48=48 48=48](https://tex.z-dn.net/?f=48%3D48)
Ответ:
любое число, кроме
![x=1 x=1](https://tex.z-dn.net/?f=x%3D1)
ОДЗ:
Ответ: 9
2)
ОДЗ:
Ответ: 2
3)
ОДЗ:
Ответ:
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