# Solve X + 1/X = 2.5 - Mathematics

Sum

Solve x + 1/x = 2.5

#### Solution

x + 1/x = 2.5

=> (x^2 + 1)/x = 5/2

=> 2x^2 + 2 = 5x

=> 2x^2 - 5x + 2 = 0

=> 2x^2 - 4x - x + 2 = 0

=> 2x(x - 2) - 1(x - 2) = 0

=> (x - 2)(2x - 1) = 0

Since x - 2 = 0 or 2x - 1 = 0

then x= 2 or x = 1/2

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