120-(31250/(x^(3/2)))=0

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Solution for 120-(31250/(x^(3/2)))=0 equation: 


D( x )

x < 0

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 in (0:+oo)

120-(31250/(x^(3/2))) = 0

120-31250*x^(-(3/2)) = 0

-31250*x^(-3/2) = -120 // : -31250

x^(-3/2) = 12/3125

-3/2 < 0

1/(x^(3/2)) = 12/3125 // * x^(3/2)

1 = 12/3125*x^(3/2) // : 12/3125

3125/12 = x^(3/2)

x^(3/2) = 3125/12 // ^ 2

x^3 = 9765625/144 // ^ 1/3

x = (9765625/144)^(1/3)

x = (9765625/144)^(1/3)

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