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А что тут решать.
1.![x^5 - 81x = x(x^4 - 81) = x(x^2 - 9)(x^2 + 9) = x(x - 3)(x + 3)(x^2 + 9) x^5 - 81x = x(x^4 - 81) = x(x^2 - 9)(x^2 + 9) = x(x - 3)(x + 3)(x^2 + 9)](https://tex.z-dn.net/?f=x%5E5+-+81x+%3D+x%28x%5E4+-+81%29+%3D+x%28x%5E2+-+9%29%28x%5E2+%2B+9%29+%3D+x%28x+-+3%29%28x+%2B+3%29%28x%5E2+%2B+9%29)
![$x_1 = 0, \quad x_2 = -3, \quad x_3 = 3 \\ \\ \\ $x_1 = 0, \quad x_2 = -3, \quad x_3 = 3 \\ \\ \\](https://tex.z-dn.net/?f=%24x_1+%3D+0%2C+%5Cquad+x_2+%3D+-3%2C+%5Cquad+x_3+%3D+3+%5C%5C+%5C%5C+%5C%5C)
2.![x^2 - 2x - 24 = x^2 - 2x + 1 - 25 = (x - 1)^2 - 25 = \\ = (x - 1 - 5)(x - 1 + 5) = (x-6)(x-4) x^2 - 2x - 24 = x^2 - 2x + 1 - 25 = (x - 1)^2 - 25 = \\ = (x - 1 - 5)(x - 1 + 5) = (x-6)(x-4)](https://tex.z-dn.net/?f=x%5E2+-+2x+-+24+%3D+x%5E2+-+2x+%2B+1+-+25+%3D+%28x+-+1%29%5E2+-+25+%3D+%5C%5C+%3D+%28x+-+1+-+5%29%28x+-+1+%2B+5%29+%3D+%28x-6%29%28x-4%29)
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