x^2-25/x^2-16x+64/5x+25/x^2-4x-32

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Solution for x^2-25/x^2-16x+64/5x+25/x^2-4x-32 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^2-(16*x)+(64/5)*x-(4*x)-(25/(x^2))+25/(x^2)-32 = 0

x^2-16*x+(64/5)*x-4*x-25*x^-2+25/(x^2)-32 = 0

x^2-36/5*x-32 = 0

DELTA = (-36/5)^2-(-32*1*4)

DELTA = 4496/25

DELTA > 0

x = ((4496/25)^(1/2)+36/5)/(1*2) or x = (36/5-(4496/25)^(1/2))/(1*2)

x = ((4496/25)^(1/2)+36/5)/2 or x = (36/5-(4496/25)^(1/2))/2

x in { (36/5-(4496/25)^(1/2))/2, ((4496/25)^(1/2)+36/5)/2 }

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