SOLUTION: the sum of a number & its reciprocal is 13/6. find the number

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Question 446765: the sum of a number & its reciprocal is 13/6. find the number
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x+1/x=13/6
multiply by x
(x^2+1)= 13x/6
6(x^2+1)=13x
6x^2+6=13x
6x^2-13x+6=0
Find the roots of the equation by quadratic formula

a= 6 b= -13 c= 6

b^2-4ac= 169-144
b^2-4ac= 25
sqrt(25)=5
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=(13+5 )/12
x1=1.5
...
x2=(13-5 )/12
x2= 0.67