document.write( "Question 1133609: Prove that (5,x,x+1)are Pythagorean triplets \n" ); document.write( "

Algebra.Com's Answer #750855 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "( $\"5\"$ , $\"x\"$ , $\"x%2B1\"$ ) are Pythagorean triplets if\r
\n" ); document.write( "\n" ); document.write( "find $\"x\"$ such that:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%5E2=x%5E2%2B5%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%2B+2+x+%2B+1+=+x%5E2+%2B+25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"cross%28x%5E2%29+%2B+2+x+%2B+1+=+cross%28x%5E2%29+%2B+25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+2+x+%2B+1+=++25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+2+x+=++24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x+=+12\"$ \r
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\n" ); document.write( "\n" ); document.write( "( $\"5\"$ , $\"x\"$ , $\"x%2B1\"$ )=( $\"5\"$ , $\"12\"$ , $\"13\"$ )\r
\n" ); document.write( "\n" ); document.write( " $\"13%5E2=12%5E2%2B5%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"169=144%2B25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"169=169\"$ => proof that ( $\"5\"$ , $\"12\"$ , $\"13\"$ ) are Pythagorean triplets\r
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