x-18/x=3

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Solution for x-18/x=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(18/x) = 3 // - 3

x-(18/x)-3 = 0

x-18*x^-1-3 = 0

1*x^1-18*x^-1-3*x^0 = 0

(1*x^2-3*x^1-18*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3*x^1-18*x^0) = 0

x^1

x^2-3*x-18 = 0

x^2-3*x-18 = 0

DELTA = (-3)^2-(-18*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(1*2) or x = (3-81^(1/2))/(1*2)

x = 6 or x = -3

x in { -3, 6} 

x in { -3, 6 }

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