(8x^4-16^3)/(25x^2-50x)

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Solution for (8x^4-16^3)/(25x^2-50x) equation: 


D( x )

25*x^2-(50*x) = 0

25*x^2-(50*x) = 0

25*x^2-(50*x) = 0

25*x^2-50*x = 0

25*x^2-50*x = 0

DELTA = (-50)^2-(0*4*25)

DELTA = 2500

DELTA > 0

x = (2500^(1/2)+50)/(2*25) or x = (50-2500^(1/2))/(2*25)

x = 2 or x = 0

x in (-oo:0) U (0:2) U (2:+oo)

(8*x^4-16^3)/(25*x^2-(50*x)) = 0

(8*x^4-16^3)/(25*x^2-50*x) = 0

(8*x^4-4096)/(25*x^2-50*x) = 0

25*x^2-50*x = 0

25*x*(x-2) = 0

x-2 = 0 // + 2

x = 2

25*x*(x-2) = 0

(8*x^4-4096)/(25*x*(x-2)) = 0

8*x^4 = 4096 // : 8

x^4 = 512

x^4 = 512 // ^ 1/4

abs(x) = 4*2^(1/4)

x = 4*2^(1/4) or x = -(4*2^(1/4))

x in { 4*2^(1/4), -(4*2^(1/4)) }

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