2x+4=6/x

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Solution for 2x+4=6/x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+4 = 6/x // - 6/x

2*x-(6/x)+4 = 0

2*x-6*x^-1+4 = 0

2*x^1-6*x^-1+4*x^0 = 0

(2*x^2+4*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+4*x^1-6*x^0) = 0

x^1

2*x^2+4*x-6 = 0

2*x^2+4*x-6 = 0

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

DELTA = 64

DELTA > 0

x = (64^(1/2)-4)/(2*2) or x = (-64^(1/2)-4)/(2*2)

x = 1 or x = -3

x in { -3, 1} 

x in { -3, 1 }

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