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# What is twice X in Pre-Algebra?

###### Wiki User

###### September 12, 2008 10:31PM

a+7<13; (3,4,5,6,7)

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### Can some one translate the sum of a number and twice the its reciprocal is 3?

A number . . . ' x '
Its reciprocal . . . 1/x
Twice its reciprocal . . . 2/x
The sum of (the number) and (twice its reciprocal) . . . x +
2/x
The equation:
x + 2/x = 3
Multiply each side of the equation by 'x' :
x2 + 2 = 3x
Subtract 3x from each side:
x2 - 3x + 2 = 0
Factor the left side, in order to see what's going on:
(x - 1) (x - 2) = 0
This is true if 'x' is either ' 1 ' or ' 2 '.
x = 1
The sum of the number and twice its reciprocal . . . 1 + 2/1 =
3
X = 2
The sum of the number and twice its reciprocal . . . 2 + 2/2 =
3