15/x-3=5*x

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Solution for 15/x-3=5*x equation: 


D( x )

x = 0

x = 0

x = 0

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

15/x-3 = 5*x // - 5*x

15/x-(5*x)-3 = 0

15/x-5*x-3 = 0

15*x^-1-5*x^1-3*x^0 = 0

(15*x^0-5*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(15*x^0-5*x^2-3*x^1) = 0

x^1

15-5*x^2-3*x = 0

15-5*x^2-3*x = 0

DELTA = (-3)^2-(-5*4*15)

DELTA = 309

DELTA > 0

x = (309^(1/2)+3)/(-5*2) or x = (3-309^(1/2))/(-5*2)

x = (309^(1/2)+3)/(-10) or x = (3-309^(1/2))/(-10)

x in { (309^(1/2)+3)/(-10), (3-309^(1/2))/(-10)} 

x in { (309^(1/2)+3)/(-10), (3-309^(1/2))/(-10) }

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