x-20/x=1

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Solution for x-20/x=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(20/x) = 1 // - 1

x-(20/x)-1 = 0

x-20*x^-1-1 = 0

1*x^1-20*x^-1-1*x^0 = 0

(1*x^2-1*x^1-20*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-1*x^1-20*x^0) = 0

x^1

x^2-x-20 = 0

x^2-x-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(1*2) or x = (1-81^(1/2))/(1*2)

x = 5 or x = -4

x in { -4, 5} 

x in { -4, 5 }

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