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Verified answer
EksPonenSiaLMisal :
5^x = a
5^(x + 1) + 5^(1 - x) = 11
5a + 5/a = 11 ... ( × a)
5a² - 11a + 5 = 0
a1 . a2 = c/a = 5/5 = 1
5^x1 . 5^x2 = 1
5^(x1 + x2) = 5^0
x1 + x2 = 0