((76(pi)x)/3)-(24000/x)

Solution for ((76(pi)x)/3)-(24000/x) equation:

D( x )

x = 0

x = 0

x = 0

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

(76*pi*x)/3-(24000/x) = 0

(76*pi*x)/3-24000*x^-1 = 0

((76*pi)/3)*x-24000*x^-1 = 0

x^-1*(((76*pi)/3)*x^2-24000) = 0

((76*pi)/3)*x^2 = 24000 // : (76*pi)/3

x^2 = (18000*pi^-1)/19

x^2 = (18000*pi^-1)/19 // ^ 1/2

abs(x) = (60*5^(1/2)*pi^(-1/2))/(19^(1/2))

x = (60*5^(1/2)*pi^(-1/2))/(19^(1/2)) or x = -((60*5^(1/2)*pi^(-1/2))/(19^(1/2)))

1/x = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

x in { (60*5^(1/2)*pi^(-1/2))/(19^(1/2)), -((60*5^(1/2)*pi^(-1/2))/(19^(1/2))) }