Quadratic Equations
Integer solutions
Grade 11

Question:

<p>The number of non-negative integral ordered pair(s) \((x, y)\) for which \((xy - 7)^2 = x^2 + y^2\) holds is greater than or equal to:</p>
<p>(a) 1</p>
<p>(b) 2</p>
<p>(c) 3</p>
<p>(d) 4</p>

Step-by-Step Solution

Key Concept: Expand and rearrange the equation to find integer solutions systematically.
<p>This question requires finding non-negative integer pairs satisfying the equation. The answer key indicates all options (a, b, c, d) are valid, suggesting the number of pairs is at least 4.</p>
Correct Answer: A

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