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The sum of a number and its reciprocal is equal to 4 times the reciprocal. Find the number.

The sum of a number and its reciprocal is equal to 4 times the reciprocal. Find the number.
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3 votes
The sum of a number and its reciprocal is equal to 4 times the reciprocal. Find the number.

asked
User Dion Truter
by
8.7k points

1 Answer

5 votes
x + (1/x) = 4*(1/x)
(x^2 +1)/x = 4/x
x^2+1=4
x^2 = 3

x= 3^(1/2)
answered
User Ionoy
by
8.6k points
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