2x+6/x-3=4

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Solution for 2x+6/x-3=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+6/x-3 = 4 // - 4

2*x+6/x-4-3 = 0

2*x^1+6*x^-1-7*x^0 = 0

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

x^1*(2*x^2-7*x^1+6*x^0) = 0

x^1

2*x^2-7*x+6 = 0

2*x^2-7*x+6 = 0

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

DELTA = 1

DELTA > 0

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

x = 2 or x = 3/2

x in { 3/2, 2} 

x in { 3/2, 2 }

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