x^(1/2)-2x^(1/4)

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Solution for x^(1/2)-2x^(1/4) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2)-(2*x^(1/4)) = 0

x^(1/2)-2*x^(1/4) = 0

t_1 = x^(1/4)

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

t_1^2-2*t_1 = 0

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

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+2)/(1*2) or t_1 = (2-4^(1/2))/(1*2)

t_1 = 2 or t_1 = 0

t_1 = 0

x^(1/4)+0 = 0

x^(1/4) = 0

1*x^(1/4) = 0 // : 1

x^(1/4) = 0

x = 0

t_1 = 2

x^(1/4)-2 = 0

1*x^(1/4) = 2 // : 1

x^(1/4) = 2

x^(1/4) = 2 // ^ 4

x = 16

x in { 0, 16 }

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