Diketahui x+1/x = 1 Berapa nilai x⁴+1/x⁴ ??
Matematika
genta13
Pertanyaan
Diketahui x+1/x = 1
Berapa nilai x⁴+1/x⁴ ??
Berapa nilai x⁴+1/x⁴ ??
1 Jawaban
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1. Jawaban Denesaelca
x + 1/x = 1
maka :
(x + 1/x)² = 1²
x² + 1/x² +2 = 1
maka : x² + 1/x² = 1 -2 = -1
dan (x² + 1/x²)² = = -1²
x⁴ + 1/x⁴ +2 =1
x⁴ + 1/x⁴ = 1-2 = -1