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A number and its reciprocal add up to 13/6 . What could the two numbers be?

 Oct 27, 2019

Best Answer 

 #1
avatar+105 
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x +1/x = 13/6

multiply both sides by 6x (common factor)

6x^2 + 6 = 13x

6x^2 -13x + 6 = 0

solve using quadratic formula

x = 2/3 x = 3/2

therefore 2/3 + 3/2 = 13/6 and 3/2 + 2/3 = 13/6

 Oct 27, 2019
 #1
avatar+105 
+1
Best Answer

x +1/x = 13/6

multiply both sides by 6x (common factor)

6x^2 + 6 = 13x

6x^2 -13x + 6 = 0

solve using quadratic formula

x = 2/3 x = 3/2

therefore 2/3 + 3/2 = 13/6 and 3/2 + 2/3 = 13/6

Drazil Oct 27, 2019

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