document.write( "Question 300396: solve using the 5 step problem solving process. Show all work.\r
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document.write( "A number is 72 less than it's square. Find all such numbers. \n" );
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Algebra.Com's Answer #215616 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A number is 72 less than it's square. Find all such numbers. \n" ); document.write( ": \n" ); document.write( "Let x = \"a number\" \n" ); document.write( ": \n" ); document.write( "x = x^2 - 72 \n" ); document.write( "A quadratic equation \n" ); document.write( "0 = x^2 - x - 72 \n" ); document.write( "Factors to \n" ); document.write( "(x-9)(x+8) = 0 \n" ); document.write( "x = +9 \n" ); document.write( "and \n" ); document.write( "x = -8 \n" ); document.write( ": \n" ); document.write( "Check both solution in original equation \n" ); document.write( "x=9 \n" ); document.write( "9 = 9^2 - 72 \n" ); document.write( "9 = 81 - 72 \n" ); document.write( "x=-8 \n" ); document.write( "-8 = -8^2 - 72 \n" ); document.write( "-8 = +64 - 72 \n" ); document.write( " |