2/x-5=6x

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Solution for 2/x-5=6x equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-5 = 6*x // - 6*x

2/x-(6*x)-5 = 0

2/x-6*x-5 = 0

2*x^-1-6*x^1-5*x^0 = 0

(2*x^0-6*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-6*x^2-5*x^1) = 0

x^1

2-6*x^2-5*x = 0

2-6*x^2-5*x = 0

DELTA = (-5)^2-(-6*2*4)

DELTA = 73

DELTA > 0

x = (73^(1/2)+5)/(-6*2) or x = (5-73^(1/2))/(-6*2)

x = (73^(1/2)+5)/(-12) or x = (5-73^(1/2))/(-12)

x in { (73^(1/2)+5)/(-12), (5-73^(1/2))/(-12)} 

x in { (73^(1/2)+5)/(-12), (5-73^(1/2))/(-12) }

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