(x/x^2-9)-(2/5x-15)

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Solution for (x/x^2-9)-(2/5x-15) 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)

x/(x^2)-((2/5)*x)-9+15 = 0

(-2/5)*x+x/(x^2)-9+15 = 0

1*x^-1-2/5*x^1+6*x^0 = 0

(6*x^1-2/5*x^2+1*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^1-2/5*x^2+1*x^0) = 0

x^1

(-2/5)*x^2+6*x+1 = 0

(-2/5)*x^2+6*x+1 = 0

DELTA = 6^2-(1*4*(-2/5))

DELTA = 188/5

DELTA > 0

x = ((188/5)^(1/2)-6)/(2*(-2/5)) or x = (-(188/5)^(1/2)-6)/(2*(-2/5))

x = -5/4*((188/5)^(1/2)-6) or x = 5/4*((188/5)^(1/2)+6)

x in { -5/4*((188/5)^(1/2)-6), 5/4*((188/5)^(1/2)+6)} 

x in { -5/4*((188/5)^(1/2)-6), 5/4*((188/5)^(1/2)+6) }

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