x^(5/4)-4x^(5/8)+4=0

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Solution for x^(5/4)-4x^(5/8)+4=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(5/4)-(4*x^(5/8))+4 = 0

x^(5/4)-4*x^(5/8)+4 = 0

t_1 = x^(5/8)

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

t_1^2-4*t_1+4 = 0

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

DELTA = 0

t_1 = 4/(1*2)

t_1 = 2 or t_1 = 2

t_1 = 2

x^(5/8)-2 = 0

1*x^(5/8) = 2 // : 1

x^(5/8) = 2

x^(5/8) = 2 // ^ 8

x^5 = 256 // ^ 1/5

x = 2*8^(1/5)

t_1 = 2

x^(5/8)-2 = 0

1*x^(5/8) = 2 // : 1

x^(5/8) = 2

x^(5/8) = 2 // ^ 8

x^5 = 256 // ^ 1/5

x = 2*8^(1/5)

x in { 2*8^(1/5), 2*8^(1/5) }

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