x^(1/2)-4x^(1/4)-12=0

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Solution for x^(1/2)-4x^(1/4)-12=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(1/2)-(4*x^(1/4))-12 = 0

x^(1/2)-4*x^(1/4)-12 = 0

t_1 = x^(1/4)

1*t_1^2-4*t_1^1-12 = 0

t_1^2-4*t_1-12 = 0

DELTA = (-4)^2-(-12*1*4)

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+4)/(1*2) or t_1 = (4-64^(1/2))/(1*2)

t_1 = 6 or t_1 = -2

t_1 = -2

x^(1/4)+2 = 0

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

x^(1/4) = -2

( -2 < 0 i 1/4 in (0:1) ) => x należy do O

t_1 = 6

x^(1/4)-6 = 0

1*x^(1/4) = 6 // : 1

x^(1/4) = 6

x^(1/4) = 6 // ^ 4

x = 1296

x = 1296

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