5/x-6=2x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

5/x-2*x-6 = 0

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

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

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

x^1

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

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

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

DELTA = 76

DELTA > 0

x = (76^(1/2)+6)/(-2*2) or x = (6-76^(1/2))/(-2*2)

x = (2*19^(1/2)+6)/(-4) or x = (6-2*19^(1/2))/(-4)

x in { (2*19^(1/2)+6)/(-4), (6-2*19^(1/2))/(-4)}

x in { (2*19^(1/2)+6)/(-4), (6-2*19^(1/2))/(-4) }

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