[tex]jika {2}^{x} + {2}^{ - \times } = 2 maka {2}^{2 \times } + {2}^{ - 2x} [/tex] please di fotoin ya cara kerjanya
Matematika
lamlam2
Pertanyaan
[tex]jika {2}^{x} + {2}^{ - \times } = 2 maka {2}^{2 \times } + {2}^{ - 2x} [/tex]
please di fotoin ya cara kerjanya
1 Jawaban
-
1. Jawaban AZKHY
Misal :
2^x = a
2^x + 2^-x = 2
a + 1/a = 2
(a + 1/a)² = 2²
a² + 1/a² + 1 = 4
a² + 1/a² = 4 - 1
a² + 1/a² = 3
(2^x)² + 1/(2^x)² = 3
2^2x + 1/2^2x = 3
2^2x + 2^-2x = 3