x^(1/2)-2x^(1/4)-3=0

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Solution for x^(1/2)-2x^(1/4)-3=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2)-(2*x^(1/4))-3 = 0

x^(1/2)-2*x^(1/4)-3 = 0

t_1 = x^(1/4)

1*t_1^2-2*t_1^1-3 = 0

t_1^2-2*t_1-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

t_1 = (16^(1/2)+2)/(1*2) or t_1 = (2-16^(1/2))/(1*2)

t_1 = 3 or t_1 = -1

t_1 = -1

x^(1/4)+1 = 0

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

x^(1/4) = -1

( -1 < 0 i 1/4 in (0:1) ) => x należy do O

t_1 = 3

x^(1/4)-3 = 0

1*x^(1/4) = 3 // : 1

x^(1/4) = 3

x^(1/4) = 3 // ^ 4

x = 81

x = 81

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