45000/(X^(3/2))=120

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Solution for 45000/(X^(3/2))=120 equation: 


D( X )

X^(3/2) = 0

X < 0

X^(3/2) = 0

X^(3/2) = 0

1*X^(3/2) = 0 // : 1

X^(3/2) = 0

X = 0

X < 0

X in (0:+oo)

45000/(X^(3/2)) = 120 // - 120

45000/(X^(3/2))-120 = 0

45000*X^(-3/2) = 120 // : 45000

X^(-3/2) = 1/375

-3/2 < 0

1/(X^(3/2)) = 1/375 // * X^(3/2)

1 = 1/375*X^(3/2) // : 1/375

375 = X^(3/2)

X^(3/2) = 375 // ^ 2

X^3 = 140625 // ^ 1/3

X = 25*9^(1/3)

X = 25*9^(1/3)

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