x^(7/2)-6x^(7/4)+9=0

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Solution for x^(7/2)-6x^(7/4)+9=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(7/2)-(6*x^(7/4))+9 = 0

x^(7/2)-6*x^(7/4)+9 = 0

t_1 = x^(7/4)

1*t_1^2-6*t_1^1+9 = 0

t_1^2-6*t_1+9 = 0

DELTA = (-6)^2-(1*4*9)

DELTA = 0

t_1 = 6/(1*2)

t_1 = 3 or t_1 = 3

t_1 = 3

x^(7/4)-3 = 0

1*x^(7/4) = 3 // : 1

x^(7/4) = 3

x^(7/4) = 3 // ^ 4

x^7 = 81 // ^ 1/7

x = 81^(1/7)

t_1 = 3

x^(7/4)-3 = 0

1*x^(7/4) = 3 // : 1

x^(7/4) = 3

x^(7/4) = 3 // ^ 4

x^7 = 81 // ^ 1/7

x = 81^(1/7)

x in { 81^(1/7), 81^(1/7) }

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