document.write( "Question 29474: I need help on this problem: The sum of a number and 5 times its reciprocal is 6. Find the number(s).
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document.write( "This is what I have so far... x + 5(1/x) = 6
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document.write( " x + 5/x = 6\r
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document.write( "Thanks for your help! \n" );
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Algebra.Com's Answer #16277 by Nate(3500) ![]() You can put this solution on YOUR website! x + 5/x = 6 \n" ); document.write( "x^2 + 5=6x (multiply by x) \n" ); document.write( "x^2 - 6x = 5 \n" ); document.write( "(x-3)^2=-5 (solve by completeing the square) \n" ); document.write( "(x-3)^2=4 \n" ); document.write( "x-3=+ or - 2 \n" ); document.write( "x=3 +or- 2 \n" ); document.write( "x=1 \n" ); document.write( "or \n" ); document.write( "x=5 \n" ); document.write( " |