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).

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.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) (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.

RELATED QUESTIONS
If 2 times the reciprocal of a number is subtracted from 3 times the number, the... (answered by ewatrrr)

when the reciprocal of three times a number is subtracted from the reciprocal of the... (answered by ankor@dixie-net.com)

if the reciprocal of a number is subtracted from twice the number, the result is 7/2.... (answered by Maths68)

When twice the reciprocal of 3 times a number is subtracted from 3 the result is 7 times... (answered by mananth)

If the reciprocal of 4 times a number is subtracted from the reciprocal of that number,... (answered by scott8148)

If the reciprocal of 4 times a number is subtracted from the reciprocal of that number,... (answered by scott8148)

If the reciprocal of 4 times a number is subtracted from the reciprocal of that number,... (answered by scott8148)

If the reciprocal of 4 times a number is subtracted from the reciprocal of that number,... (answered by scott8148)

If the reciprocal of 4 times a number is subtracted from the reciprocal of that number,... (answered by scott8148)