document.write( "Question 522022: Find two consecutive integers such that the square of the second added to the square of twice the first is 424. \n" ); document.write( "
Algebra.Com's Answer #346648 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Ist Integer = x
\n" ); document.write( "2nd Integer = x+1\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2%2B%282x%29%5E2=424\"
\n" ); document.write( "\"x%5E2%2B2x%2B1%2B%282x%29%5E2=424\"
\n" ); document.write( "\"x%5E2%2B2x%2B1%2B4x%5E2=424\"
\n" ); document.write( "\"5x%5E2%2B2x%2B1=424\"
\n" ); document.write( "\"5x%5E2%2B2x%2B1-424=0\"
\n" ); document.write( "\"5x%5E2%2B2x-423=0\"\r
\n" ); document.write( "\n" ); document.write( "Use\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+5\"
\n" ); document.write( "\"b+=+2\"
\n" ); document.write( "\"c+=+-423\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A5%2A-423+%29%29%2F%282%2A5%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+4%2B8460+%29%29%2F%2810%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%288464%29%29%2F%2810%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+92%29%2F%2810%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+-+92%29%2F%2810%29+\" or \"x+=+%28-2+%2B+92%29%2F%2810%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-94%29%2F%2810%29+\" or \"x+=+%2890%29%2F%2810%29+\"
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "\"x=-9.4\" or \"x=9%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-9.4\" inadmissible
\n" ); document.write( "\"x=9%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Ist Integer = x = 9
\n" ); document.write( "2nd Integer = x+1 = 9+1 = 10
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