Question 110861
x + a/x = b
(x^2 + bx + a)/(bx^2 - x^3) 
(x^2+x(x + a/x)+a/(x^2(x + a/x )-x^3
(x^2+x^2 + a +a)/(x^3 + ax -x^3)
(2x^2+2a)/ax
.
x + 1/x = 99
x^2+1=99x eliminate fractions multiply each side by x
x^2-99x+1=0
*[invoke solve_quadratic_equation 1, -99, 1]
{{{graph(500,500,-10,110,-3000,1000,x^2-99x+1)}}}
I'll let you plug the answers for x into the equation below to get the answers which should both be .25
100x/(3x^2 + 103x + 3)
.
Ed