Question

Jumlah akar-akar persamaan adalah .......................

Answer 1

Verified answer

Bab Eksponensial
Matematika SMA Kelas X

^ = pangkat

5^(x + 1) + 5^(1 - x) = 11
5ˣ . 5¹ + 5¹ . 5⁻ˣ = 11
5 . 5ˣ + 5/5ˣ = 11

** dikalikan 5ˣ **

5 . 5²ˣ + 5 = 11 . 5ˣ
5 . 5²ˣ - 11 . 5ˣ + 5 = 0
a = 5; b = -11; c = 5

hasil kali akar-akar
5^(x1) . 5^(x2) = c/a
5^(x1 + x2) = 5/5
5^(x1 + x2) = 1
5^(x1 + x2) = 5^0
x1 + x2 = 0