x^(4/3)-8x^(2/3)+15=0

Solution for x^(4/3)-8x^(2/3)+15=0 equation:

x in (-oo:+oo)

x^(4/3)-(8*x^(2/3))+15 = 0

x^(4/3)-8*x^(2/3)+15 = 0

t_1 = x^(2/3)

1*t_1^2-8*t_1^1+15 = 0

t_1^2-8*t_1+15 = 0

DELTA = (-8)^2-(1*4*15)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+8)/(1*2) or t_1 = (8-4^(1/2))/(1*2)

t_1 = 5 or t_1 = 3

t_1 = 3

x^(2/3)-3 = 0

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

x^(2/3) = 3

x^(2/3) = 3 // ^ 3

x^2 = 27 // ^ 1/2

abs(x) = 3*3^(1/2)

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

t_1 = 5

x^(2/3)-5 = 0

1*x^(2/3) = 5 // : 1

x^(2/3) = 5

x^(2/3) = 5 // ^ 3

x^2 = 125 // ^ 1/2

abs(x) = 5*5^(1/2)

x = 5*5^(1/2) or x = -(5*5^(1/2))

x in { 3*3^(1/2), -(3*3^(1/2)), 5*5^(1/2), -(5*5^(1/2)) }