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chistyakovleha
@chistyakovleha
June 2022
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3^(х^2+2) - 5^(х^2-1) = 5^(х^2+1) +3^(х^2-1)
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srzontmp
3^(x^2+2) - 3^(x^2 - 1) = 5^(x^2 - 1) + 5^(x^2 + 1) =>
3^(x^2 - 1)(3^3 - 1) = 5^(x^2 - 1)(1+5^2) =>
3^(x^2 - 1)*26 = 5^(x^2 - 1)*26 => x^2 - 1 = 0 => x^2 = 1
x1 = 1, x2 = - 1
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Answers & Comments
3^(x^2 - 1)(3^3 - 1) = 5^(x^2 - 1)(1+5^2) =>
3^(x^2 - 1)*26 = 5^(x^2 - 1)*26 => x^2 - 1 = 0 => x^2 = 1
x1 = 1, x2 = - 1