x+4/x-21

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Solution for x+4/x-21 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+4/x-21 = 0

1*x^1+4*x^-1-21*x^0 = 0

(1*x^2-21*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-21*x^1+4*x^0) = 0

x^1

x^2-21*x+4 = 0

x^2-21*x+4 = 0

DELTA = (-21)^2-(1*4*4)

DELTA = 425

DELTA > 0

x = (425^(1/2)+21)/(1*2) or x = (21-425^(1/2))/(1*2)

x = (5*17^(1/2)+21)/2 or x = (21-5*17^(1/2))/2

x in { (21-5*17^(1/2))/2, (5*17^(1/2)+21)/2} 

x in { (21-5*17^(1/2))/2, (5*17^(1/2)+21)/2 }

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