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1)
= 4,7
2)![frac{3a^4b^3}{15a^5b} = frac{b^2}{5a} frac{3a^4b^3}{15a^5b} = frac{b^2}{5a}](https://tex.z-dn.net/?f=+frac%7B3a%5E4b%5E3%7D%7B15a%5E5b%7D+%3D++frac%7Bb%5E2%7D%7B5a%7D+)
3)![x - frac{x^2+y^2}{x+y} = frac{x(x+y)}{x+y} - frac{x^2+y^2}{x+y} = frac{x(x+y)-x^2+y^2}{x+y} = frac{xy + y^2}{x+y} = frac{y(x+y)}{x+y} = y x - frac{x^2+y^2}{x+y} = frac{x(x+y)}{x+y} - frac{x^2+y^2}{x+y} = frac{x(x+y)-x^2+y^2}{x+y} = frac{xy + y^2}{x+y} = frac{y(x+y)}{x+y} = y](https://tex.z-dn.net/?f=x+-++frac%7Bx%5E2%2By%5E2%7D%7Bx%2By%7D+%3D++frac%7Bx%28x%2By%29%7D%7Bx%2By%7D+-++frac%7Bx%5E2%2By%5E2%7D%7Bx%2By%7D+%3D++frac%7Bx%28x%2By%29-x%5E2%2By%5E2%7D%7Bx%2By%7D+%3D++frac%7Bxy+%2B+y%5E2%7D%7Bx%2By%7D+%3D++frac%7By%28x%2By%29%7D%7Bx%2By%7D+%3D+y)
4)![frac{10a}{a-b} * frac{a^2-b^2}{5a} = 2a + 2b frac{10a}{a-b} * frac{a^2-b^2}{5a} = 2a + 2b](https://tex.z-dn.net/?f=+frac%7B10a%7D%7Ba-b%7D+%2A+frac%7Ba%5E2-b%5E2%7D%7B5a%7D+%3D+2a+%2B+2b)
5)![frac{7,5*10^{-7}}{5*10^{-4}} = frac{7,5 * 0,001}{5} = 0,0015 frac{7,5*10^{-7}}{5*10^{-4}} = frac{7,5 * 0,001}{5} = 0,0015](https://tex.z-dn.net/?f=+frac%7B7%2C5%2A10%5E%7B-7%7D%7D%7B5%2A10%5E%7B-4%7D%7D+%3D++frac%7B7%2C5+%2A+0%2C001%7D%7B5%7D+%3D+0%2C0015)
![frac{7,5*10^{-7}}{5*10^{-4}} textless 0,015 frac{7,5*10^{-7}}{5*10^{-4}} textless 0,015](https://tex.z-dn.net/?f=+frac%7B7%2C5%2A10%5E%7B-7%7D%7D%7B5%2A10%5E%7B-4%7D%7D++textless+++0%2C015)
6)![frac{4x}{10} - frac{5(x-3)}{10} - frac{10}{10} = 0 frac{4x}{10} - frac{5(x-3)}{10} - frac{10}{10} = 0](https://tex.z-dn.net/?f=+frac%7B4x%7D%7B10%7D+-++frac%7B5%28x-3%29%7D%7B10%7D+-++frac%7B10%7D%7B10%7D+%3D+0)
![frac{4x-5(x-3)-10}{10} = 0 frac{4x-5(x-3)-10}{10} = 0](https://tex.z-dn.net/?f=+frac%7B4x-5%28x-3%29-10%7D%7B10%7D+%3D+0)
4x - 5x + 15 - 10 = 0
-x + 5 = 0
-x = -5
x = 5
7)![frac{x}{24} = frac{x}{15} - 150 frac{x}{24} = frac{x}{15} - 150](https://tex.z-dn.net/?f=+frac%7Bx%7D%7B24%7D+%3D++frac%7Bx%7D%7B15%7D+-+150)
![frac{5x}{120} - frac{8x}{120} + 150 = 0 frac{5x}{120} - frac{8x}{120} + 150 = 0](https://tex.z-dn.net/?f=+frac%7B5x%7D%7B120%7D+-++frac%7B8x%7D%7B120%7D+%2B+150+%3D+0)
![- frac{x}{40} + 150 = 0 - frac{x}{40} + 150 = 0](https://tex.z-dn.net/?f=-+frac%7Bx%7D%7B40%7D+%2B+150+%3D+0)
![- frac{x}{40} = -150 - frac{x}{40} = -150](https://tex.z-dn.net/?f=-+frac%7Bx%7D%7B40%7D+%3D+-150)
![150 = frac{x}{40} 150 = frac{x}{40}](https://tex.z-dn.net/?f=150+%3D++frac%7Bx%7D%7B40%7D+)
![x= 150 * 40 x= 150 * 40](https://tex.z-dn.net/?f=x%3D+150+%2A+40)
x = 6000
8)![frac{m^2-n^2-km+kn}{k^2-km-mn-n^2} = frac{(m+n)(m-n)-k(m-n)}{(k+n)(k-n)-m(k+n)} = frac{(m+n-k)(m-n)}{(k-n-m)(k+n)} frac{m^2-n^2-km+kn}{k^2-km-mn-n^2} = frac{(m+n)(m-n)-k(m-n)}{(k+n)(k-n)-m(k+n)} = frac{(m+n-k)(m-n)}{(k-n-m)(k+n)}](https://tex.z-dn.net/?f=+frac%7Bm%5E2-n%5E2-km%2Bkn%7D%7Bk%5E2-km-mn-n%5E2%7D+%3D++frac%7B%28m%2Bn%29%28m-n%29-k%28m-n%29%7D%7B%28k%2Bn%29%28k-n%29-m%28k%2Bn%29%7D+%3D++frac%7B%28m%2Bn-k%29%28m-n%29%7D%7B%28k-n-m%29%28k%2Bn%29%7D+)
9)![frac{3+4x}{2} + frac{12}{2} = frac{2x-3}{2y} - frac{1-5x}{7} frac{3+4x}{2} + frac{12}{2} = frac{2x-3}{2y} - frac{1-5x}{7}](https://tex.z-dn.net/?f=+frac%7B3%2B4x%7D%7B2%7D+%2B++frac%7B12%7D%7B2%7D+%3D+frac%7B2x-3%7D%7B2y%7D+-+frac%7B1-5x%7D%7B7%7D+)
![frac{7(3+4x)}{14} + frac{84}{14} - frac{7(2x-3)}{14} - frac{2(1-5x)}{14} = 0 frac{7(3+4x)}{14} + frac{84}{14} - frac{7(2x-3)}{14} - frac{2(1-5x)}{14} = 0](https://tex.z-dn.net/?f=+frac%7B7%283%2B4x%29%7D%7B14%7D+%2B+frac%7B84%7D%7B14%7D+-+frac%7B7%282x-3%29%7D%7B14%7D+-+frac%7B2%281-5x%29%7D%7B14%7D+%3D+0)
7(3 + 4x) + 84 - 7(2x - 3) - 2(1 - 5x) = 0
21 + 28x + 84 - 14x + 21 - 2 + 10x = 0
24x = -124
x = - 5,1(6)
2)
3)
4)
5)
6)
4x - 5x + 15 - 10 = 0
-x + 5 = 0
-x = -5
x = 5
7)
x = 6000
8)
9)
7(3 + 4x) + 84 - 7(2x - 3) - 2(1 - 5x) = 0
21 + 28x + 84 - 14x + 21 - 2 + 10x = 0
24x = -124
x = - 5,1(6)
Ответ дал:
0
9) = 0,005 / 0,0014 * 0,004 = 0,005 / 0,0000056 = 893
Ответ дал:
0
всё, а теперь разрешите откланяться. Если возникнут вопросы по поводу решений - пишите мне на профиль.
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