document.write( "Question 1199512: solve the equation
\n" ); document.write( "((x!)!)^2 + ((x!)!) =5040
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Algebra.Com's Answer #833439 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Factorial is only defined for integers, so look for a solution by trying small integer values for x.

\n" ); document.write( "By just looking at the first term in the expression, we can quickly see that the equation has no solution.

\n" ); document.write( "x = 1: ((1!)!)^2 + ((1!)!) = (1!)^2 + (1!) = 1^2 + 1 = 1 + 1 = 2

\n" ); document.write( "x = 2: ((2!)!)^2 + ((2!)!) = (2!)^2 + (2!) = 2^2 + 2 = 4 + 2 = 6

\n" ); document.write( "x = 3: ((3!)!)^2 + ((3!)!) = (6!)^2 + (6!) = 720^2 + 720 = 518400 + 720 = 519120

\n" ); document.write( "ANSWER: no solution
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