3X^2-16/X^0.5=0

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Solution for 3X^2-16/X^0.5=0 equation: 


D( X )

X < 0

X^0.5 = 0

X < 0

X^0.5 = 0

X^0.5 = 0

1*X^0.5 = 0 // : 1

X^0.5 = 0

X = 0

X in (0:+oo)

3*X^2-(16/(X^0.5)) = 0

3*X^2-16*X^-0.5 = 0

3*X^2-16*X^-0.5 = 0

X^-0.5*(3*X^2.5-16) = 0

3*X^2.5 = 16 // : 3

X^2.5 = 16/3

X^2 = (16/3)^(1/0.5) // ^ 1/2

abs(X) = 16/3

X = 16/3 or X = -16/3

1/(X^0.5) = 0

1*X^-0.5 = 0 // : 1

X^-0.5 = 0

X należy do O

X in { -16/3} 

X = 16/3

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