y=x/x^2-x-30

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Solution for y=x/x^2-x-30 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)

y = x/(x^2)-x-30 // - x/(x^2)-x-30

x-(x/(x^2))+y+30 = 0

x-x^-1+y+30 = 0

1*x^1-1*x^-1+30*x^0 = 0

(1*x^2+30*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+30*x^1-1*x^0) = 0

x^1

x^2+30*x-1 = 0

x^2+30*x-1 = 0

DELTA = 30^2-(-1*1*4)

DELTA = 904

DELTA > 0

x = (904^(1/2)-30)/(1*2) or x = (-904^(1/2)-30)/(1*2)

x = (2*226^(1/2)-30)/2 or x = (-2*226^(1/2)-30)/2

x in { (-2*226^(1/2)-30)/2, (2*226^(1/2)-30)/2} 

x in { (-2*226^(1/2)-30)/2, (2*226^(1/2)-30)/2 }

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