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

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Solution for (x^2)*(((1-2x^(2))/(4x))) equation: 


D( x )

4*x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

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

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

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

( 1-2*x^2 )

-2*x^2 = -1 // : -2

x^2 = 1/2

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

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

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

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

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

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