x=180/x-3

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Solution for x=180/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 180/x-3 // - 180/x-3

x-(180/x)+3 = 0

x-180*x^-1+3 = 0

1*x^1-180*x^-1+3*x^0 = 0

(1*x^2+3*x^1-180*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+3*x^1-180*x^0) = 0

x^1

x^2+3*x-180 = 0

x^2+3*x-180 = 0

DELTA = 3^2-(-180*1*4)

DELTA = 729

DELTA > 0

x = (729^(1/2)-3)/(1*2) or x = (-729^(1/2)-3)/(1*2)

x = 12 or x = -15

x in { -15, 12} 

x in { -15, 12 }

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