Ответы
Ответ дал:
0
42)
![frac{2x - 3}{4} + frac{x + 2}{2} = 6 + frac{2x - 3}{2} \ frac{2x - 3}{4} + frac{2(x + 2)}{4} = frac{24}{4} + frac{2(2x - 3)}{4} \ frac{2x - 3 + 2x + 4}{4} = frac{24 + 4x - 6}{4} \ frac{4x + 1}{ 4} = frac{18 + 4x}{4} \ 4x + 1 = 18 + 4x \ 0 = 17 frac{2x - 3}{4} + frac{x + 2}{2} = 6 + frac{2x - 3}{2} \ frac{2x - 3}{4} + frac{2(x + 2)}{4} = frac{24}{4} + frac{2(2x - 3)}{4} \ frac{2x - 3 + 2x + 4}{4} = frac{24 + 4x - 6}{4} \ frac{4x + 1}{ 4} = frac{18 + 4x}{4} \ 4x + 1 = 18 + 4x \ 0 = 17](https://tex.z-dn.net/?f=+frac%7B2x+-+3%7D%7B4%7D++%2B++frac%7Bx+%2B+2%7D%7B2%7D++%3D+6+%2B++frac%7B2x+-+3%7D%7B2%7D++%5C++frac%7B2x+-+3%7D%7B4%7D++%2B++frac%7B2%28x+%2B+2%29%7D%7B4%7D++%3D++frac%7B24%7D%7B4%7D++%2B++frac%7B2%282x+-+3%29%7D%7B4%7D++%5C++frac%7B2x+-+3+%2B+2x+%2B+4%7D%7B4%7D++%3D++frac%7B24+%2B+4x+-+6%7D%7B4%7D++%5C++frac%7B4x+%2B+1%7D%7B++4%7D++%3D++frac%7B18+%2B+4x%7D%7B4%7D++%5C+4x+%2B+1+%3D+18+%2B+4x+%5C+0+%3D+17)
=> нет корней.
Ответ: нет корней.
44)
![frac{2x - 3}{2} - frac{3 - 4x}{4} - frac{3 - 5x}{8} = 0 \ frac{4(2x - 3)}{8} - frac{2(3 - 4x)}{8} - frac{3 - 5x}{8} = 0 \ frac{8x - 12 - (6 - 8x) - (3 - 5x)}{8} = 0 \ frac{8x - 12 - 6 + 8x - 3 + 5x}{8} = 0 \ frac{21x - 21}{8} = 0 \ 21x - 21 = 0 \ 21(x - 1) = 0 \ x - 1 = 0 \ x = 1 frac{2x - 3}{2} - frac{3 - 4x}{4} - frac{3 - 5x}{8} = 0 \ frac{4(2x - 3)}{8} - frac{2(3 - 4x)}{8} - frac{3 - 5x}{8} = 0 \ frac{8x - 12 - (6 - 8x) - (3 - 5x)}{8} = 0 \ frac{8x - 12 - 6 + 8x - 3 + 5x}{8} = 0 \ frac{21x - 21}{8} = 0 \ 21x - 21 = 0 \ 21(x - 1) = 0 \ x - 1 = 0 \ x = 1](https://tex.z-dn.net/?f=+frac%7B2x+-+3%7D%7B2%7D+-++frac%7B3+-+4x%7D%7B4%7D+++-++frac%7B3+-+5x%7D%7B8%7D++%3D+0+%5C++frac%7B4%282x+-+3%29%7D%7B8%7D++-++frac%7B2%283+-+4x%29%7D%7B8%7D++-++frac%7B3+-+5x%7D%7B8%7D++%3D+0+%5C++frac%7B8x+-+12+-+%286+-+8x%29+-+%283+-+5x%29%7D%7B8%7D++%3D+0+%5C++frac%7B8x+-+12+-+6+%2B+8x+-+3+%2B+5x%7D%7B8%7D++%3D+0+%5C++frac%7B21x+-+21%7D%7B8%7D++%3D+0+%5C+21x+-+21+%3D+0+%5C+21%28x+-+1%29+%3D+0+%5C+x+-+1+%3D+0+%5C+x+%3D+1)
Ответ: 1.
46)
![frac{5x}{6} - frac{1 - 3x}{5} = x - frac{x - 7}{15} - 1 \ frac{5 times 5x}{30} - frac{6(1 - 3x)}{30} = frac{30x}{30} - frac{2(x - 7)}{30} - frac{30}{30} \ frac{25x - (6 - 18x)}{30} = frac{30x - (2x - 14) - 30}{30} \ frac{25x - 6 + 18x}{30} = frac{30x - 2 x+ 14 - 30}{30} \ frac{43 x- 6}{30} = frac{28x - 16}{30} \ 43 x- 6 = 28x - 16 \ 43x - 28x = 6 - 16 \ 15x = - 10 \ x = - frac{10}{15} = - frac{2}{3} frac{5x}{6} - frac{1 - 3x}{5} = x - frac{x - 7}{15} - 1 \ frac{5 times 5x}{30} - frac{6(1 - 3x)}{30} = frac{30x}{30} - frac{2(x - 7)}{30} - frac{30}{30} \ frac{25x - (6 - 18x)}{30} = frac{30x - (2x - 14) - 30}{30} \ frac{25x - 6 + 18x}{30} = frac{30x - 2 x+ 14 - 30}{30} \ frac{43 x- 6}{30} = frac{28x - 16}{30} \ 43 x- 6 = 28x - 16 \ 43x - 28x = 6 - 16 \ 15x = - 10 \ x = - frac{10}{15} = - frac{2}{3}](https://tex.z-dn.net/?f=+frac%7B5x%7D%7B6%7D++-++frac%7B1+-+3x%7D%7B5%7D++%3D+x+-++frac%7Bx+-+7%7D%7B15%7D++-+1+%5C++frac%7B5+times+5x%7D%7B30%7D++-++frac%7B6%281+-+3x%29%7D%7B30%7D++%3D++frac%7B30x%7D%7B30%7D++-++frac%7B2%28x+-+7%29%7D%7B30%7D++-++frac%7B30%7D%7B30%7D++%5C++frac%7B25x+-+%286+-+18x%29%7D%7B30%7D++%3D++frac%7B30x+-+%282x+-+14%29+-+30%7D%7B30%7D++%5C++frac%7B25x+-+6+%2B+18x%7D%7B30%7D++%3D++frac%7B30x+-+2+x%2B+14+-+30%7D%7B30%7D++%5C++frac%7B43+x-+6%7D%7B30%7D++%3D++frac%7B28x+-+16%7D%7B30%7D++%5C+43+x-+6+%3D+28x+-+16++%5C+43x+-+28x+%3D+6+-+16+%5C+15x+%3D++-+10+%5C+x+%3D++-++frac%7B10%7D%7B15%7D++%3D++-++frac%7B2%7D%7B3%7D+)
=> нет корней.
Ответ: нет корней.
44)
Ответ: 1.
46)
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