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

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


D( x )

x < 0

x < 0

x in <0:+oo)

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

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

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

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

2*x^(3/4)*(1/5*x^(1/2)-1/3) = 0

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

x^(1/2) = 5/3

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

x = 25/9

2*x^(3/4) = 0

2*x^(3/4) = 0 // : 2

x^(3/4) = 0

x = 0

x in { 25/9, 0 }

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