document.write( "Question 36944: if a number is decreased by its reciprocal the result is 11 over 30. find the number. \n" ); document.write( "
Algebra.Com's Answer #22719 by venugopalramana(3286)\"\" \"About 
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if a number ..X...SAY....is decreased by its reciprocal....1/X... the result is 11 over 30. find the number.
\n" ); document.write( "X-1/X=11/30........MULTIPLY WITH 30X THROUGHOUT
\n" ); document.write( "30X^2-30=11X
\n" ); document.write( "30X^2-11X-30=0
\n" ); document.write( "30X^2-36X+25X-30=0
\n" ); document.write( "6X(5X-6)+5(5X-6)=0
\n" ); document.write( "(5X-6)(6X+5)=0
\n" ); document.write( "5X-6=0....THAT IS 5X=6....X=6/5...
\n" ); document.write( "OR
\n" ); document.write( "6X+5=0...THAT IS 6X=-5....X=-5/6..
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