(8x4-2x2)/(2x2)

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Solution for (8x4-2x2)/(2x2) equation: 


D( x )

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0 // : 2

x^2 = 0

x = 0

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

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

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

8*x^4-2*x^2 = 0

2*x^2*(4*x^2-1) = 0

4*x^2 = 1 // : 4

x^2 = 1/4

x^2 = 1/4 // ^ 1/2

abs(x) = 1/2

x = 1/2 or x = -1/2

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

(x-1/2)*(x+1/2) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

x in { -1/2, 1/2 }

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