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Question
দুইটি সংখ্যার বর্গের সমষ্টি ও অন্তরফল যথাক্রমে 61 ও 11 হলে, সংখ্যা দুইটি কি কি ?
(7,6)
(7,4)
(12,1)
(6,5)
ANSWER : 4
Descrption
<pre>ধরি , সংখ্যা দুইটি x এবং y ∴ <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo> + </mo><msup><mi>y</mi><mn>2</mn></msup><mo> = </mo><mn>61</mn><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mi>i</mi><mo>)</mo><mspace linebreak = "newline"/><msup><mi>x</mi><mn>2</mn></msup><mo> - </mo><msup><mi>y</mi><mn>2</mn></msup><mo> = </mo><mn>11</mn><mo> </mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mi>i</mi><mi>i</mi><mo>)</mo><mo> </mo><mspace linebreak = "newline"/><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>.</mo><mspace linebreak = "newline"/><mo> + </mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo> = </mo><mn>72</mn><mspace linebreak = "newline"/><mo>⇒</mo><msup><mi>x</mi><mn>2</mn></msup><mo> = </mo><mn>36</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo> </mo><mi>x</mi><mo> = </mo><mn>6</mn><mspace linebreak = "newline"/><mo>(</mo><mi>i</mi><mo>)</mo><mo> </mo><mo>,</mo><mspace linebreak = "newline"/><msup><mi>y</mi><mn>2</mn></msup><mo> = </mo><mn>61</mn><mo> - </mo><msup><mi>x</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mo> = </mo><mn>61</mn><mo> - </mo><mn>36</mn><mspace linebreak = "newline"/><mo>⇒</mo><msup><mi>y</mi><mn>2</mn></msup><mo> = </mo><mn>25</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo> </mo><mi>y</mi><mo> = </mo><mn>5</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo> = </mo><mo>(</mo><mn>6</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo> </mo></math> </pre>
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