X-(3X/X+2)=(6/X+2)

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Solution for X-(3X/X+2)=(6/X+2) equation: 


D( X )

X = 0

X = 0

X = 0

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

X-((3*X)/X)-2 = 6/X+2 // - 6/X+2

X-(6/X)-((3*X)/X)-2-2 = 0

X-6*X^-1-3-2-2 = 0

1*X^1-6*X^-1-7*X^0 = 0

(1*X^2-7*X^1-6*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2-7*X^1-6*X^0) = 0

X^1

X^2-7*X-6 = 0

X^2-7*X-6 = 0

DELTA = (-7)^2-(-6*1*4)

DELTA = 73

DELTA > 0

X = (73^(1/2)+7)/(1*2) or X = (7-73^(1/2))/(1*2)

X = (73^(1/2)+7)/2 or X = (7-73^(1/2))/2

X in { (7-73^(1/2))/2, (73^(1/2)+7)/2} 

X in { (7-73^(1/2))/2, (73^(1/2)+7)/2 }

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