x=9(x^(1/2))

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Solution for x=9(x^(1/2)) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x = 9*x^(1/2) // - 9*x^(1/2)

x-(9*x^(1/2)) = 0

x-9*x^(1/2) = 0

t_1 = x^(1/2)

1*t_1^2-9*t_1^1 = 0

t_1^2-9*t_1 = 0

DELTA = (-9)^2-(0*1*4)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)+9)/(1*2) or t_1 = (9-81^(1/2))/(1*2)

t_1 = 9 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 = 9

x^(1/2)-9 = 0

1*x^(1/2) = 9 // : 1

x^(1/2) = 9

x^(1/2) = 9 // ^ 2

x = 81

x in { 0, 81 }

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