Предмет: Алгебра,
автор: nastinvolchik
10 балов.Срочняк помогайте!!!!!фвыделенное
Приложения:
![](https://files.topotvet.com/i/4a7/4a7dc1b042c51a0a25dd4b7b1dbfc97f.png)
Ответы
Автор ответа:
1
1)
![\frac{ {x}^{2} + 4x}{x + 2} = \frac{2x}{3} \\ 3( {x}^{2} + 4x) = 2x(x + 2) \\ 3 {x}^{2} + 12x = 2 {x}^{2} + 4x \\ 3{x}^{2} - 2 {x}^{2} + 12x - 4x = 0 \\ {x}^{2} + 8x = 0 \\ x(x + 8) = 0 \\ x = 0 \\ x + 8 = 0 \\ x = - 8 \frac{ {x}^{2} + 4x}{x + 2} = \frac{2x}{3} \\ 3( {x}^{2} + 4x) = 2x(x + 2) \\ 3 {x}^{2} + 12x = 2 {x}^{2} + 4x \\ 3{x}^{2} - 2 {x}^{2} + 12x - 4x = 0 \\ {x}^{2} + 8x = 0 \\ x(x + 8) = 0 \\ x = 0 \\ x + 8 = 0 \\ x = - 8](https://tex.z-dn.net/?f=+%5Cfrac%7B+%7Bx%7D%5E%7B2%7D++%2B+4x%7D%7Bx+%2B+2%7D++%3D++%5Cfrac%7B2x%7D%7B3%7D++%5C%5C+3%28+%7Bx%7D%5E%7B2%7D++%2B+4x%29+%3D+2x%28x+%2B+2%29+%5C%5C+3+%7Bx%7D%5E%7B2%7D++%2B+12x+%3D+2+%7Bx%7D%5E%7B2%7D++%2B+4x+%5C%5C++3%7Bx%7D%5E%7B2%7D++-+2+%7Bx%7D%5E%7B2%7D++%2B+12x+-+4x+%3D+0+%5C%5C++%7Bx%7D%5E%7B2%7D+++%2B+8x+%3D+0+%5C%5C+x%28x+%2B+8%29++%3D+0+%5C%5C++x+%3D+0+%5C%5C+x+%2B+8+%3D+0+%5C%5C+x+%3D++-+8)
Ответ: -8; 0.
2)
![\frac{c - 2}{c + 3} = \frac{c + 3}{c - 2} \\ {(c - 2)}^{2} = {(c + 3)}^{2} \\ {(c - 2)}^{2} - {(c + 3)}^{2} = 0 \\ (c - 2 + c + 3)(c - 2 - c - 3) = 0 \\ (2c + 1) \times ( - 5) = 0 \\ 2c + 1 = 0 \\ 2c = - 1 \\ c = - \frac{1}{2} \frac{c - 2}{c + 3} = \frac{c + 3}{c - 2} \\ {(c - 2)}^{2} = {(c + 3)}^{2} \\ {(c - 2)}^{2} - {(c + 3)}^{2} = 0 \\ (c - 2 + c + 3)(c - 2 - c - 3) = 0 \\ (2c + 1) \times ( - 5) = 0 \\ 2c + 1 = 0 \\ 2c = - 1 \\ c = - \frac{1}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7Bc+-+2%7D%7Bc+%2B+3%7D++%3D++%5Cfrac%7Bc+%2B+3%7D%7Bc++-+2%7D++%5C%5C++%7B%28c+-+2%29%7D%5E%7B2%7D++%3D++%7B%28c+%2B+3%29%7D%5E%7B2%7D++%5C%5C++%7B%28c+-+2%29%7D%5E%7B2%7D++-++%7B%28c+%2B+3%29%7D%5E%7B2%7D++%3D+0+%5C%5C+%28c+-+2+%2B+c+%2B+3%29%28c+-+2+-+c+-+3%29+%3D+0+%5C%5C+%282c+%2B+1%29+%5Ctimes+%28+-+5%29+%3D+0+%5C%5C+2c+%2B+1+%3D+0+%5C%5C+2c+%3D++-+1+%5C%5C+c+%3D++-++%5Cfrac%7B1%7D%7B2%7D+)
Ответ: -1/2.
Ответ: -8; 0.
2)
Ответ: -1/2.
nastinvolchik:
Решение не понятно
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