2/x-6=7x

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Solution for 2/x-6=7x equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-6 = 7*x // - 7*x

2/x-(7*x)-6 = 0

2/x-7*x-6 = 0

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

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

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

x^1

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

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

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

DELTA = 92

DELTA > 0

x = (92^(1/2)+6)/(-7*2) or x = (6-92^(1/2))/(-7*2)

x = (2*23^(1/2)+6)/(-14) or x = (6-2*23^(1/2))/(-14)

x in { (2*23^(1/2)+6)/(-14), (6-2*23^(1/2))/(-14)}

x in { (2*23^(1/2)+6)/(-14), (6-2*23^(1/2))/(-14) }

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