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from your knowledge of x and y in the equation - IQnection

📅 May 5, 2026 👤 scraface

May 05, 2026

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So we solve \( 9x^2 + 16y^2 = 144 \) in integers with \( |x| \leq 4 \)...
We try all integer \( x \) from \( -4 \) to \( 4 \), compute \( 9x^2 \...
\( x = 0 \): \( y^2 = \frac{144}{16} = 9 \) → \( y = \pm 3 \) → valid
\( x = \pm 1 \): \( 9(1) = 9 \), \( 144 - 9 = 135 \), \( y^2 = 135/16...
\( x = \pm 2 \): \( 9(4) = 36 \), \( 144 - 36 = 108 \), \( y^2 = 108/1...
\( x = \pm 3 \): \( 9(9) = 81 \), \( 144 - 81 = 63 \), \( y^2 =
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