document.write( "Question 759508: MATH QUESTION~\r
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document.write( "The sum of the squares of four consecutive positive odd numbers is 596. What are the numbers?\r
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document.write( "Please help me!
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #806267 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! consecutive odd numbers: x, (x+2), (x+4), (x+6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + (x+2)^2 + (x+4)^2 + (x+6)^2 = 596 \n" ); document.write( "x^2 + x^2 + 4x + 4 + x^2 + 8x + 16 + x^2 + 12x + 36 = 596 \n" ); document.write( "4x^2 + 24x + 56 = 596 \n" ); document.write( "x^2 + 6x + 14 = 149 \n" ); document.write( "x^2 + 6x - 135 = 0 \n" ); document.write( "(x + 15)(x - 9) = 0 \n" ); document.write( "x = -15, x = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x has to be positive, so the numbers are 9, 11, 13, and 15. \n" ); document.write( " |