(1-x^4)/(8x^3-1)

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Solution for (1-x^4)/(8x^3-1) equation: 


D( x )

8*x^3-1 = 0

8*x^3-1 = 0

8*x^3-1 = 0

8*x^3 = 1 // : 8

x^3 = 1/8

x^3 = 1/8 // ^ 1/3

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

(1-x^4)/(8*x^3-1) = 0

-1*x^4 = -1 // : -1

x^4 = 1

x^4 = 1 // ^ 1/4

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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