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

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


D( x )

x < 0

x < 0

x in <0:+oo)

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

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

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

t_1 = x^(1/4)

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

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

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

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+3)/(2*2) or t_1 = (3-25^(1/2))/(2*2)

t_1 = 2 or t_1 = -1/2

t_1 = -1/2

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

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

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

( -1/2 < 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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