x/24=72/x^1/2

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Solution for x/24=72/x^1/2 equation: 


D( x )

x^1 = 0

x^1 = 0

x^1 = 0

x = 0

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

x/24 = (72/(x^1))/2 // - (72/(x^1))/2

x/24-((72/(x^1))/2) = 0

x/24-36*x^-1 = 0

1/24*x^1-36*x^-1 = 0

(1/24*x^2-36*x^0)/(x^1) = 0 // * x^2

x^1*(1/24*x^2-36*x^0) = 0

x^1

(1/24)*x^2-36 = 0

(1/24)*x^2-36 = 0

DELTA = 0^2-(-36*4*(1/24))

DELTA = 6

DELTA > 0

x = (6^(1/2)+0)/(2*(1/24)) or x = (0-6^(1/2))/(2*(1/24))

x = 12*6^(1/2) or x = 12*6^(1/2)

x in { 12*6^(1/2), 12*6^(1/2)} 

x in { 12*6^(1/2), 12*6^(1/2) }

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