2/x=9-x/10

Solution for 2/x=9-x/10 equation:

D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

2/x = 9-(x/10) // - 9-(x/10)

x/10+2/x-9 = 0

1/10*x^1+2*x^-1-9*x^0 = 0

(1/10*x^2-9*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1/10*x^2-9*x^1+2*x^0) = 0

x^1

(1/10)*x^2-9*x+2 = 0

(1/10)*x^2-9*x+2 = 0

DELTA = (-9)^2-(2*4*(1/10))

DELTA = 401/5

DELTA > 0

x = ((401/5)^(1/2)+9)/(2*(1/10)) or x = (9-(401/5)^(1/2))/(2*(1/10))

x = 5*((401/5)^(1/2)+9) or x = 5*(9-(401/5)^(1/2))

x in { 5*(9-(401/5)^(1/2)), 5*((401/5)^(1/2)+9)} 

x in { 5*(9-(401/5)^(1/2)), 5*((401/5)^(1/2)+9) }