Jika A^2x = 2 , maka A^5x - A^-5x / A^3x + A^-3x =
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muhammadtopan72
Pertanyaan
Jika A^2x = 2 , maka A^5x - A^-5x / A^3x + A^-3x =
1 Jawaban
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1. Jawaban Robinn
A^2x = 2
A^x = √2
→ A^5x - A^-5x / A^3x + A^-3x
= (√2)^5 - 1/(√2)^5 / (√2)^3 + 1/(√2)^3
= 4√2 - 1/4√2 / 2√2 + 1/2√2
= (16 . 2 - 1 / 4√2) / (4 . 2 + 1 / 2√2)
= (32 - 1 / 4√2) / (8 + 1 / 2√2)
= (31 / 4√2) / (9 / 2√2)
= (31 / 4√2) x (2√2 / 9)
= 31 / 9 x 2
= 31 / 18