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Home » can you conclude that this parallelogram is a rectangle explain - inBeat

can you conclude that this parallelogram is a rectangle explain - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 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 \( y + 1 \geq 0 \Rightarrow y \geq -1 \).

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