40x^(2/3)-2x^(1/3)-2=0

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Solution for 40x^(2/3)-2x^(1/3)-2=0 equation: 


x in (-oo:+oo)

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

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

t_1 = x^(1/3)

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

40*t_1^2-2*t_1-2 = 0

DELTA = (-2)^2-(-2*4*40)

DELTA = 324

DELTA > 0

t_1 = (324^(1/2)+2)/(2*40) or t_1 = (2-324^(1/2))/(2*40)

t_1 = 1/4 or t_1 = -1/5

t_1 = -1/5

x^(1/3)+1/5 = 0

1*x^(1/3) = -1/5 // : 1

x^(1/3) = -1/5

( -1/5 < 0 i 1/3 in (0:1) ) => x należy do O

t_1 = 1/4

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

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

x^(1/3) = 1/4

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

x = 1/64

x = 1/64

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