SOLUTION: if a number is decreased by its reciprocal the result is 11 over 30. find the number.

Question 36944: if a number is decreased by its reciprocal the result is 11 over 30. find the number.
Found 2 solutions by checkley71, venugopalramana:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X-1/X=11/30 OR (X~2-1)/X=11/30 OR 11X=30X~2-30 OR 30X~2-11X-30 OR
(6X+5)(5X-6)=0 OR 6X=-5 OR X=-5/6 & 5X=6 OR X=6/5
Answer by venugopalramana(3286) (Show Source): 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.
X-1/X=11/30........MULTIPLY WITH 30X THROUGHOUT
30X^2-30=11X
30X^2-11X-30=0
30X^2-36X+25X-30=0
6X(5X-6)+5(5X-6)=0
(5X-6)(6X+5)=0
5X-6=0....THAT IS 5X=6....X=6/5...
OR
6X+5=0...THAT IS 6X=-5....X=-5/6..
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