jika x^1/2+x^-1/2=2 maka nilai dari x^2+x^-2
Matematika
assyila1
Pertanyaan
jika x^1/2+x^-1/2=2 maka nilai dari x^2+x^-2
1 Jawaban
-
1. Jawaban Anonyme
x^1/2 + x^-1/2 = 2
(√x + 1/√x)² = 2²
x + 2 + 1/x = 4
x + 1/x = 4 - 2
x + 1/x = 2
(x + 1/x)² = 2²
x² + 1/x² + 2 = 4
x² + 1/x² = 4 - 2
x² + 1/x² = 2
⏺x^2 + x^-2 = 2