4x^(2/3)-9x^(1/3)=9

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Solution for 4x^(2/3)-9x^(1/3)=9 equation: 


x in (-oo:+oo)

4*x^(2/3)-(9*x^(1/3)) = 9 // - 9

4*x^(2/3)-(9*x^(1/3))-9 = 0

4*x^(2/3)-9*x^(1/3)-9 = 0

t_1 = x^(1/3)

4*t_1^2-9*t_1^1-9 = 0

4*t_1^2-9*t_1-9 = 0

DELTA = (-9)^2-(-9*4*4)

DELTA = 225

DELTA > 0

t_1 = (225^(1/2)+9)/(2*4) or t_1 = (9-225^(1/2))/(2*4)

t_1 = 3 or t_1 = -3/4

t_1 = -3/4

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

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

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

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

t_1 = 3

x^(1/3)-3 = 0

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

x^(1/3) = 3

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

x = 27

x = 27

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