X+1/X-3=4

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Solution for X+1/X-3=4 equation: 


D( X )

X = 0

X = 0

X = 0

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

X+1/X-3 = 4 // - 4

X+1/X-4-3 = 0

1*X^1+1*X^-1-7*X^0 = 0

(1*X^2-7*X^1+1*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2-7*X^1+1*X^0) = 0

X^1

X^2-7*X+1 = 0

X^2-7*X+1 = 0

DELTA = (-7)^2-(1*1*4)

DELTA = 45

DELTA > 0

X = (45^(1/2)+7)/(1*2) or X = (7-45^(1/2))/(1*2)

X = (3*5^(1/2)+7)/2 or X = (7-3*5^(1/2))/2

X in { (7-3*5^(1/2))/2, (3*5^(1/2)+7)/2} 

X in { (7-3*5^(1/2))/2, (3*5^(1/2)+7)/2 }

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