Question

The sum of a number and it's reciprocal is 25/12. What is the number? ​

Answer 1

Answer:

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Answer 2

Answer:

x+(1/x) = 25/12

=> ( x²+1) /x = 25/12

=> 12(x²+1) = 25x

=> 12x² - 25x +12 = 0

=> 12x² - 16x - 9x + 12 = 0

=> 4x(3x-4) - 3(3x-4) = 0

=> (4x-3) (3x-4) = 0

=> (4x-3) = 0 and (3x-4) =0

=> x = 3/4 and 4/3