(256-4*x^4)^(1/4)

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Solution for (256-4*x^4)^(1/4) equation: 


D( x )

256-(4*x^4) < 0

256-(4*x^4) < 0

256-(4*x^4) < 0

256-4*x^4 < 0

-4*x^4 < -256

-4*x^4 < -256 // * -1

4*x^4 > 256

4*x^4 > 256 // : 4

x^4 > 256/4

x^4 > 64

x^4 > 64 // ^ 1/4

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

x in (-oo:-(2*4^(1/4))) U (2*4^(1/4):+oo)

x in <-(2*4^(1/4)):2*4^(1/4)>

(256-(4*x^4))^(1/4) = 0

(256-4*x^4)^(1/4) = 0

-4*x^4 = -256 // : -4

x^4 = 64

x^4 = 64 // ^ 1/4

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

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

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

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