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(x ^ 2 - y ^ 2)/(xy) = (x + y)/11 = (x - y)/5​

Answer» <html><body><p><strong>Answer:</strong></p><p></p><p><strong>Step-by-step explanation:</strong></p><p>x²+y=7</p><p></p><p>x+y²=11</p><p></p><p>y²=11-x</p><p></p><p>(x²+y)²=7²</p><p></p><p>x⁴+2x²y+y²=49</p><p></p><p>[<a href="https://interviewquestions.tuteehub.com/tag/input-11237" style="font-weight:bold;" target="_blank" title="Click to know more about INPUT">INPUT</a> y²=11-x]</p><p></p><p>x⁴+2x²y+11-x=49</p><p></p><p>[Input x²+y=7 into 2x²y]</p><p></p><p>2x²y = 2x²(7-x²)</p><p></p><p>2x²y = 14x²-2x⁴</p><p></p><p>…</p><p></p><p>x⁴+14x²-2x⁴+11-x=49</p><p></p><p>14x²-x⁴+11-x=49</p><p></p><p>-38=x-14x²+x⁴</p><p></p><p>x⁴-14x²+x=-38</p><p></p><p>[Input x²+y=7 into x⁴-14x²]</p><p></p><p>x⁴-14x² = (7-y)²-14(7-y)</p><p></p><p>x⁴-14x² = 49–14y+y²-118–14y</p><p></p><p>49–28y+y²-118</p><p></p><p>-28y+y²-69</p><p></p><p>[Input x+y²=11 into x]</p><p></p><p>x=11-y²</p><p></p><p>…</p><p></p><p>-28y+y²-69+11-y²=-38</p><p></p><p>-28y-58=-38</p><p></p><p>-28y=20</p><p></p><p>y= - (20/28) ≈ 0.7143 to <a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a> s.f.</p><p></p><p>[<a href="https://interviewquestions.tuteehub.com/tag/insert-516457" style="font-weight:bold;" target="_blank" title="Click to know more about INSERT">INSERT</a> this into x²+y=7]</p><p></p><p>x²-(20/28)=7</p><p></p><p>x²=7+(20/28)</p><p></p><p>[7=196/28]</p><p></p><p>x²=(216/28)</p><p></p><p>x=±√(216/28) ≈ ± 2.7775 to 5 s.f.</p><p></p><p>…</p><p></p><p>Therefore, y = -20/28, x = ±√(216/28)</p><p></p></body></html>


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