Jika [tex] x_{1} dan x_2 [/tex] memenuhi persamaan : [tex]5^{x} - 6( \sqrt{5})^{x} + 5 = 0 , hasil dari x_1 + x_2 [/tex]

semoga paham yaa :))

Misal :
(√5)^x = a
a² = 5^x

5^x - 6(√5)^x + 5 = 0
a² - 6a + 5 = 0
a1 . a2 = c/a = 5
(√5)^x1 . (√5)^x2 = 5
(√5)^(x1 + x2) = 5
5^((x1 + x2)/2) = 5
(x1 + x2)/2 = 1
x1 + x2 = 2