document.write( "Question 449169: find two consecutive positive odd numbers which are such that the square of their sum exceeds the sum of their squares by 126 \n" ); document.write( "

Algebra.Com's Answer #309025 by mananth(16946) $\"\"$ $\"About$

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x
\n" ); document.write( "x+2\r
\n" ); document.write( "\n" ); document.write( "...
\n" ); document.write( "(x+x+2)^2=x^2+(x+2)^2+126\r
\n" ); document.write( "\n" ); document.write( "(2x+2)^2=x^2+x^2+4x+4+126
\n" ); document.write( "4x^2+8x+4=2x^2+4x+130
\n" ); document.write( "2x^2+4x-126=0
\n" ); document.write( "a=2,b=4,c=-126
\n" ); document.write( "
\n" ); document.write( "b^2-4ac=16+1008
\n" ); document.write( "b^2-4ac=1024
\n" ); document.write( "sqrt( 1024 )= 32
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x1=(-4+ 32)/4
\n" ); document.write( "x1=7
\n" ); document.write( "x2=(-4-32)/4
\n" ); document.write( "x2= -9
\n" ); document.write( "7 & 9 \n" ); document.write( "

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