4/x+6=6x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

4/x-6*x+6 = 0

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

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

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

x^1

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

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

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

DELTA = 132

DELTA > 0

x = (132^(1/2)-6)/(-6*2) or x = (-132^(1/2)-6)/(-6*2)

x = (2*33^(1/2)-6)/(-12) or x = (-2*33^(1/2)-6)/(-12)

x in { (2*33^(1/2)-6)/(-12), (-2*33^(1/2)-6)/(-12)} 

x in { (2*33^(1/2)-6)/(-12), (-2*33^(1/2)-6)/(-12) }

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