document.write( "Question 300396: solve using the 5 step problem solving process. Show all work.\r
\n" ); document.write( "\n" ); document.write( "A number is 72 less than it's square. Find all such numbers.
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Algebra.Com's Answer #215616 by ankor@dixie-net.com(22740)\"\" \"About 
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A number is 72 less than it's square. Find all such numbers.
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\n" ); document.write( "Let x = \"a number\"
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\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
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\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
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