X-4/X-4=30/5

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Solution for X-4/X-4=30/5 equation: 


D( X )

X = 0

X = 0

X = 0

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

X-(4/X)-4 = 30/5 // - 30/5

X-(4/X)-(30/5)-4 = 0

X-4*X^-1-6-4 = 0

1*X^1-4*X^-1-10*X^0 = 0

(1*X^2-10*X^1-4*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2-10*X^1-4*X^0) = 0

X^1

X^2-10*X-4 = 0

X^2-10*X-4 = 0

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

DELTA = 116

DELTA > 0

X = (116^(1/2)+10)/(1*2) or X = (10-116^(1/2))/(1*2)

X = (2*29^(1/2)+10)/2 or X = (10-2*29^(1/2))/2

X in { (10-2*29^(1/2))/2, (2*29^(1/2)+10)/2} 

X in { (10-2*29^(1/2))/2, (2*29^(1/2)+10)/2 }

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