4x-12/x-6=5

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Solution for 4x-12/x-6=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(12/x)-6 = 5 // - 5

4*x-(12/x)-6-5 = 0

4*x-12*x^-1-6-5 = 0

4*x^1-12*x^-1-11*x^0 = 0

(4*x^2-11*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-11*x^1-12*x^0) = 0

x^1

4*x^2-11*x-12 = 0

4*x^2-11*x-12 = 0

DELTA = (-11)^2-(-12*4*4)

DELTA = 313

DELTA > 0

x = (313^(1/2)+11)/(2*4) or x = (11-313^(1/2))/(2*4)

x = (313^(1/2)+11)/8 or x = (11-313^(1/2))/8

x in { (11-313^(1/2))/8, (313^(1/2)+11)/8} 

x in { (11-313^(1/2))/8, (313^(1/2)+11)/8 }

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