SOLUTION: If 3 times the reciprocal of a number is subtracted from twice the reiprocal of the square of the number, the difference is -1. Find the number(s).

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: If 3 times the reciprocal of a number is subtracted from twice the reiprocal of the square of the number, the difference is -1. Find the number(s).      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 432154: If 3 times the reciprocal of a number is subtracted from twice the reiprocal of the square of the number, the difference is -1. Find the number(s).
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

let number is x.
( 2/x^2) - (3/x) = -1
=> ( 2 -3x) = -x^2
=> x^2 -3x + 2 = 0
=> x^2 -x -2x + 2 = 0
=> x(x-1) -2(x -1) = 0
=> (x-1)(x-2) = 0
=> x= 1 or 2 .

so, numbers are 1 and 2.