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Home » Substitute \( n = 5 \) into the formula: - AdVision eCommerce

Substitute \( n = 5 \) into the formula: - AdVision eCommerce

📅 May 4, 2026 👤 scraface

May 04, 2026

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Let \( y = \frac{x^2 + 1}{x^2 - 1} \). Rearranging gives:
y(x^2 - 1) = x^2 + 1 \quad \Rightarrow \quad yx^2 - y = x^2 + 1.
Rearranging terms:
If \( y \neq 1 \),
x^2 = \frac{y + 1}{y - 1}.
Since \( x^2 \geq 0 \), we require:
\frac{y + 1}{y - 1} \geq 0.
Analyzing the sign of the expression:
The numerator \( y + 1 \geq 0 \Rightarrow y \geq -1 \).
The denominator \( y - 1 > 0 \Rightarrow y > 1 \), or \( y - 1 < 0 \Ri...

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