2x^(2/3)-5x^(4/3)

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Solution for 2x^(2/3)-5x^(4/3) equation:


x in (-oo:+oo)

2*x^(2/3)-(5*x^(4/3)) = 0

2*x^(2/3)-5*x^(4/3) = 0

t_1 = x^(2/3)

2*t_1^1-5*t_1^2 = 0

2*t_1-5*t_1^2 = 0

DELTA = 2^2-(-5*0*4)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)-2)/(-5*2) or t_1 = (-4^(1/2)-2)/(-5*2)

t_1 = 0 or t_1 = 2/5

t_1 = 0

x^(2/3)+0 = 0

x^(2/3) = 0

1*x^(2/3) = 0 // : 1

x^(2/3) = 0

x = 0

t_1 = 2/5

x^(2/3)-2/5 = 0

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

x^(2/3) = 2/5

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

x^2 = 8/125 // ^ 1/2

abs(x) = (8/125)^(1/2)

x = (8/125)^(1/2) or x = -(8/125)^(1/2)

x in { 0, (8/125)^(1/2), -(8/125)^(1/2) }

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