x^(1/2)=0.55x

Solution for x^(1/2)=0.55x equation:

D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2) = 0.55*x // - 0.55*x

x^(1/2)-(0.55*x) = 0

x^(1/2)-0.55*x = 0

t_1 = x^(1/2)

1*t_1^1-0.55*t_1^2 = 0

t_1-0.55*t_1^2 = 0

DELTA = 1^2-(-0.55*0*4)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)-1)/(-0.55*2) or t_1 = (-1^(1/2)-1)/(-0.55*2)

t_1 = 0 or t_1 = 1.81818182

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 = 1.81818182

x^(1/2)-1.81818182 = 0

1*x^(1/2) = 1.81818182 // : 1

x^(1/2) = 1.81818182

x^(1/2) = 1.81818182 // ^ 2

x = 1.81818182^2

x in { 0, 1.81818182^2 }