3/2x-18+x/x^2-81

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Solution for 3/2x-18+x/x^2-81 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(3/2)*x+x/(x^2)-81-18 = 0

3/2*x^1+1*x^-1-99*x^0 = 0

(3/2*x^2-99*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(3/2*x^2-99*x^1+1*x^0) = 0

x^1

(3/2)*x^2-99*x+1 = 0

(3/2)*x^2-99*x+1 = 0

DELTA = (-99)^2-(1*4*(3/2))

DELTA = 9795

DELTA > 0

x = (9795^(1/2)+99)/(2*(3/2)) or x = (99-9795^(1/2))/(2*(3/2))

x = (9795^(1/2)+99)/3 or x = (99-9795^(1/2))/3

x in { (99-9795^(1/2))/3, (9795^(1/2)+99)/3} 

x in { (99-9795^(1/2))/3, (9795^(1/2)+99)/3 }

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