document.write( "Question 1092683: Rewrite equation as a system of equations excluding the value (s) of x that lead to a denominator of zero. Then solve the equation for x. Show your work. Equation is 25x=1/x. \n" ); document.write( "

Algebra.Com's Answer #707435 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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25x = $\"1%2Fx\"$
\n" ); document.write( "multiply both sides by x
\n" ); document.write( "25x^2 = 1
\n" ); document.write( "divide both sides by 25
\n" ); document.write( "x^2 = $\"1%2F25\"$
\n" ); document.write( "x = $\"sqrt%281%2F25%29\"$
\n" ); document.write( "x = +/- $\"1%2F5\"$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "25 $\"1%2F5\"$ = $\"1%2F%281%2F5%29\"$
\n" ); document.write( "5 = 5
\n" ); document.write( "and
\n" ); document.write( "25 $\"-1%2F5\"$ = $\"1%2F%28-1%2F5%29\"$
\n" ); document.write( "-5 = -5
\n" ); document.write( " \n" ); document.write( "

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