x-1/x=-4

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Solution for x-1/x=-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x) = -4 // + 4

x-(1/x)+4 = 0

x-x^-1+4 = 0

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

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

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

x^1

x^2+4*x-1 = 0

x^2+4*x-1 = 0

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

DELTA = 20

DELTA > 0

x = (20^(1/2)-4)/(1*2) or x = (-20^(1/2)-4)/(1*2)

x = (2*5^(1/2)-4)/2 or x = (-2*5^(1/2)-4)/2

x in { (-2*5^(1/2)-4)/2, (2*5^(1/2)-4)/2} 

x in { (-2*5^(1/2)-4)/2, (2*5^(1/2)-4)/2 }

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