23-02-2019
Mathematics

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the sum of anumber its reciprocal is
[tex] \frac{13}{6} [/tex]
find all such numbers..؟

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23-02-2019

Answer:

They are 2/3 and 3/2.

Step-by-step explanation:

x + 1/x = 13/6

(x^2 + 1) / x = 13/6

Cross multiply:-

6x^2 + 6 = 13x

6x^2 - 13x + 6 = 0

(3x - 2)(2x - 3 ) = 0

x = 2/3 , 3/2.

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