document.write( "Question 295131: 6) Find 3 consecutive intergers such that the sum of their squares is 50.\r
\n" ); document.write( "\n" ); document.write( "7) Find 3 consecutive even intergers such that the sum of the squares of the first two less the square of the third equals 20.\r
\n" ); document.write( "\n" ); document.write( "8) Find 3 consecutive odd intergers such that the sum of the squares of the second and third exceeds the square of the first by 209. \n" ); document.write( "

Algebra.Com's Answer #212742 by mananth(16946) $\"\"$ $\"About$

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let the integers be x , x+1, x+2\r
\n" ); document.write( "\n" ); document.write( "x^2+(x+1)^2 +(x+2)^2=50\r
\n" ); document.write( "\n" ); document.write( "x^2+x^2+2x+1 + x^2+4x+4 =50\r
\n" ); document.write( "\n" ); document.write( "3x^2+6x+5=50\r
\n" ); document.write( "\n" ); document.write( "3x^2+6x-45=0\r
\n" ); document.write( "\n" ); document.write( "x^2+2x-15=0\r
\n" ); document.write( "\n" ); document.write( "x^2+5x-3x-15=0\r
\n" ); document.write( "\n" ); document.write( "x(x+5)-3(x+5)=0\r
\n" ); document.write( "\n" ); document.write( "(x+5)(x-3)=0\r
\n" ); document.write( "\n" ); document.write( "x=-5 or x=3\r
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\n" ); document.write( "\n" ); document.write( "the numbers can be -5, -4, -3 OR 3 , 4 , 5 \r
\n" ); document.write( "\n" ); document.write( "Both the solutions satisfy the equation\r
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