x^(7/4)-4x^(7/8)=-4

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Solution for x^(7/4)-4x^(7/8)=-4 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(7/4)-(4*x^(7/8)) = -4 // + 4

x^(7/4)-(4*x^(7/8))+4 = 0

x^(7/4)-4*x^(7/8)+4 = 0

t_1 = x^(7/8)

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^(7/8)-2 = 0

1*x^(7/8) = 2 // : 1

x^(7/8) = 2

x^(7/8) = 2 // ^ 8

x^7 = 256 // ^ 1/7

x = 2*2^(1/7)

t_1 = 2

x^(7/8)-2 = 0

1*x^(7/8) = 2 // : 1

x^(7/8) = 2

x^(7/8) = 2 // ^ 8

x^7 = 256 // ^ 1/7

x = 2*2^(1/7)

x in { 2*2^(1/7), 2*2^(1/7) }

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