Автор - SuperVeroMix

Решите 2 и 3 часть даю 15 баллов!!!

Ответ

Автор - lingvini2013

13. frac{a^2-81}{a^2-12a+36}:frac{a^2+9a}{a-6}

frac{(a^2-81)(a-6)}{(a^2-12a+36)(a^2+9a)}

frac{(a-9)(a+9)(a-6)}{a(a-6)^2(a+9)}

frac{(a-9)}{a(a-6)}

14. frac{x^2-49}{x+7} = -14; x neq -7\

frac{(x+7)(x-7)}{x+7} = -14\

x-7 = -14

x = -7

15. (frac{a+1}{a-1} - frac{4a}{a^2-1} ) : frac{a-1}{a^2+a}

(frac{a+1}{a-1} - frac{4a}{(a+1)(a-1)} ) : frac{a-1}{a(a+1)}

(frac{(a+1)^2-4a}{(a+1)(a-1)}) : frac{a-1}{a(a+1)}

frac{a(a+1)((a+1)^2-4a)}{(a+1)(a-1)^2}

frac{a((a+1)^2-4a)}{(a-1)^2}

frac{a(a+1)^2-4a^2}{(a-1)^2}

16. (0.2 * 10^5)(1.6 * 10^{-2})

(0.2 * 1.6)(10^5 * 10^{-2})

3.2*10^{-1} * 10^5 * 10^{-2}

3.2*10^2

17. См. вложение

18. x^2 + frac{1}{x^2}  =18

(x - frac{1}{x})^2  = x^2 + frac{1}{x^2} -2

(x-frac{1}{x})^2 = 16

(x-frac{1}{x})_1 = 4

(x-frac{1}{x})_2 = -4

Ответ: ± 4.

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