Решите сложное уравнение, пожалуйста. Created by Hirster04. algebra-ru

Решите сложное уравнение, пожалуйста...

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Решите сложное уравнение, пожалуйста

Segrif $(3 \frac{1}{2} x^{3} ) ^{6}*( \frac{2}{7} x^{2}) ^{5}= \frac{77...7}{22...2} \\\\ \frac{7 ^{6} }{2 ^{6} }x ^{18}* \frac{2 ^{5} }{7 ^{5} }x ^{10}= \frac{77...7}{22...2}\\\\ \frac{7}{2}x ^{28} = \frac{77...7}{22...2} \\\\ x^{28}= \frac{11...1}{11...1} \\\\ x^{28} =1\\\\x _{1}=1\\\\x _{2} =-1$

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3+1/2 = 6/2 + 1/2 = 7/2
77...7 / 22...2 = [7 * 11...1]/[2 * 11...1] = 7/2

(7/2 * x^3)^6 * (2/7 * x^2)^5 = (7/2)^6 * (2/7)^5 * x^18 * x^10 = 7/2 * x^28
7/2 * x^28 = 7/2
x = +-1

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