((25x)^(3/2))/(5*x)^(1/2)

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Solution for ((25x)^(3/2))/(5*x)^(1/2) equation: 


D( x )

25*x < 0

5*x < 0

(5*x)^(1/2) = 0

25*x < 0

25*x < 0

25*x+0 < 0 // - 0

25*x < 0 // : 25

x < 0/25

x < 0

5*x < 0

5*x < 0

5*x+0 < 0 // - 0

5*x < 0 // : 5

x < 0/5

x < 0

(5*x)^(1/2) = 0

(5*x)^(1/2) = 0

5^(1/2)*x^(1/2) = 0 // : 5^(1/2)

x^(1/2) = 0

x = 0

x in (0:+oo)

((25*x)^(3/2))/((5*x)^(1/2)) = 0

(125/(5^(1/2)))*x = 0 // : 125/(5^(1/2))

x = 0

x in { 0} 

x belongs to the empty set

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