(x+5)/x^2-25=0

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Solution for (x+5)/x^2-25=0 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+5)/(x^2)-25 = 0

(x+5)/(x^2)+(-25*x^2)/(x^2) = 0

x-25*x^2+5 = 0

x-25*x^2+5 = 0

x-25*x^2+5 = 0

DELTA = 1^2-(-25*4*5)

DELTA = 501

DELTA > 0

x = (501^(1/2)-1)/(-25*2) or x = (-501^(1/2)-1)/(-25*2)

x = (501^(1/2)-1)/(-50) or x = (501^(1/2)+1)/50

(x-((501^(1/2)-1)/(-50)))*(x-((501^(1/2)+1)/50)) = 0

((x-((501^(1/2)-1)/(-50)))*(x-((501^(1/2)+1)/50)))/(x^2) = 0

((x-((501^(1/2)-1)/(-50)))*(x-((501^(1/2)+1)/50)))/(x^2) = 0 // * x^2

(x-((501^(1/2)-1)/(-50)))*(x-((501^(1/2)+1)/50)) = 0

( x-((501^(1/2)+1)/50) )

x-((501^(1/2)+1)/50) = 0 // + (501^(1/2)+1)/50

x = (501^(1/2)+1)/50

( x-((501^(1/2)-1)/(-50)) )

x-((501^(1/2)-1)/(-50)) = 0 // + (501^(1/2)-1)/(-50)

x = (501^(1/2)-1)/(-50)

x in { (501^(1/2)+1)/50, (501^(1/2)-1)/(-50) }

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