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

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


D( x )

x < 0

x < 0

x in <0:+oo)

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

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

t_1 = x^(1/4)

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

3*t_1^2-4*t_1-4 = 0

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

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+4)/(2*3) or t_1 = (4-64^(1/2))/(2*3)

t_1 = 2 or t_1 = -2/3

t_1 = -2/3

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

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

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

( -2/3 < 0 i 1/4 in (0:1) ) => x należy do O

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 = 16

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