abi12072002 abi12072002

24-01-2017
Mathematics

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The sum of a number and its reciprocal is 2.9. Find all possible values of the number.

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24-01-2017

x + 1/x = 2.9

x^2 + 1 = 2.9x
x^2 - 2.9x +1 = 0
(x - 0.4)(x - 2.5) = 0

x - 0.4 = 0 so x = 0.4
x - 2.5 = 0 so x = 2.5
answer: x = 0.4 and x = 2.5

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