2x^(2/3)-15x^(1/3)-8=0

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Solution for 2x^(2/3)-15x^(1/3)-8=0 equation: 


x in (-oo:+oo)

2*x^(2/3)-(15*x^(1/3))-8 = 0

2*x^(2/3)-15*x^(1/3)-8 = 0

t_1 = x^(1/3)

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

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

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

DELTA = 289

DELTA > 0

t_1 = (289^(1/2)+15)/(2*2) or t_1 = (15-289^(1/2))/(2*2)

t_1 = 8 or t_1 = -1/2

t_1 = -1/2

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

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

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

( -1/2 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

t_1 = 8

x^(1/3)-8 = 0

1*x^(1/3) = 8 // : 1

x^(1/3) = 8

x^(1/3) = 8 // ^ 3

x = 512

x = 512

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