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प्रश्न
Solve `x + 1/x = 2.5`
योग
उत्तर
`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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