8x=24(x^(1/2))

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Solution for 8x=24(x^(1/2)) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

8*x = 24*x^(1/2) // - 24*x^(1/2)

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

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

t_1 = x^(1/2)

8*t_1^2-24*t_1^1 = 0

8*t_1^2-24*t_1 = 0

DELTA = (-24)^2-(0*4*8)

DELTA = 576

DELTA > 0

t_1 = (576^(1/2)+24)/(2*8) or t_1 = (24-576^(1/2))/(2*8)

t_1 = 3 or t_1 = 0

t_1 = 0

x^(1/2)+0 = 0

x^(1/2) = 0

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

x^(1/2) = 0

x = 0

t_1 = 3

x^(1/2)-3 = 0

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

x^(1/2) = 3

x^(1/2) = 3 // ^ 2

x = 9

x in { 0, 9 }

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