(4/x^5)-(2/x^3)=0

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Solution for (4/x^5)-(2/x^3)=0 equation: 


D( x )

x^3 = 0

x^5 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x^5 = 0

x^5 = 0

1*x^5 = 0 // : 1

x^5 = 0

x = 0

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

4/(x^5)-(2/(x^3)) = 0

4/(x^5)-2*x^-3 = 0

4*x^-5-2*x^-3 = 0

(4*x^0-2*x^2)/(x^5) = 0 // * x^10

x^5*(4*x^0-2*x^2) = 0

x^5

4-2*x^2 = 0

4-2*x^2 = 0

DELTA = 0^2-(-2*4*4)

DELTA = 32

DELTA > 0

x = (32^(1/2)+0)/(-2*2) or x = (0-32^(1/2))/(-2*2)

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

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

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

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