document.write( "Question 506664: two positive whole numbers differ by 2 . If the sume of their square is 74 find the numbers \n" ); document.write( "

Algebra.Com's Answer #340209 by stanbon(75887) $\"\"$ $\"About$

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two positive whole numbers differ by 2 . If the sum of their square is 74 find the numbers
\n" ); document.write( "---
\n" ); document.write( "Let one of the numbers be \"x\".
\n" ); document.write( "Then the other one is \"x+2\".
\n" ); document.write( "---
\n" ); document.write( "Equation:
\n" ); document.write( "x^2 + (x+2)^2 = 74
\n" ); document.write( "x^2 + x^2+4x+4 = 74
\n" ); document.write( "2x^2 + 4x = 70
\n" ); document.write( "x^2 + 2x -35 = 0
\n" ); document.write( "(x+7)(x-5) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 5
\n" ); document.write( "x+2 = 7
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H. \n" ); document.write( "

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