3/x-2=9x

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Solution for 3/x-2=9x equation:


D( x )

x = 0

x = 0

x = 0

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

3/x-2 = 9*x // - 9*x

3/x-(9*x)-2 = 0

3/x-9*x-2 = 0

3*x^-1-9*x^1-2*x^0 = 0

(3*x^0-9*x^2-2*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-9*x^2-2*x^1) = 0

x^1

3-9*x^2-2*x = 0

3-9*x^2-2*x = 0

DELTA = (-2)^2-(-9*3*4)

DELTA = 112

DELTA > 0

x = (112^(1/2)+2)/(-9*2) or x = (2-112^(1/2))/(-9*2)

x = (4*7^(1/2)+2)/(-18) or x = (2-4*7^(1/2))/(-18)

x in { (4*7^(1/2)+2)/(-18), (2-4*7^(1/2))/(-18)}

x in { (4*7^(1/2)+2)/(-18), (2-4*7^(1/2))/(-18) }

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