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)![]() ![]() You can put this solution on YOUR website! 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.. \n" ); document.write( " |