312.5x^3/2-1/2x^-1/2

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Solution for 312.5x^3/2-1/2x^-1/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

(312.5*x^3)/2-(((1/2)*x^-1)/2) = 0

(312.5*x^3)/2+(-1/4)*x^-1 = 0

156.25*x^3-1/4*x^-1 = 0

x^-1*(156.25*x^4-1/4) = 0

156.25*x^4 = 1/4 // : 156.25

x^4 = 0.0016

x^4 = 0.0016 // ^ 1/4

abs(x) = 0.0016^(1/4)

x = 0.0016^(1/4) or x = -0.0016^(1/4)

1/x = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

x in { 0.0016^(1/4), -0.0016^(1/4) }

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