document.write( "Question 1026519: which combination of integers can be used to generate the pythagorean triple? (5,12,13) \r
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\n" ); document.write( "b. x=1, y=3
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\n" ); document.write( "please explain dont just write the answer thanks! \n" ); document.write( "

Algebra.Com's Answer #641767 by Edwin McCravy(20065) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "The Pythagorean triples are generated by x,y and\r\n" );
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document.write( "(x²-y²,2xy,x²+y²) where x > y > 0, x,y both integers.\r\n" );
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document.write( "To generate (5,12,13), we have the over-determined system:\r\n" );
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document.write( "Adding the first and third equations:\r\n" );
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document.write( "Substituting x² = 9\r\n" );
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document.write( "And if we check we find that x=3, y=2 \r\n" );
document.write( "satisfies all three equations of the\r\n" );
document.write( "over-determined system above.\r\n" );
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document.write( "Answer: c\r\n" );
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document.write( "Edwin

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