5X^(3/7)(5X^(1/4)-X^(9/4))

Solution for 5X^(3/7)(5X^(1/4)-X^(9/4)) equation:

D( X )

X < 0

X < 0

X in <0:+oo)

5*X^(3/7)*(5*X^(1/4)-X^(9/4)) = 0

5*X^(1/4)-X^(9/4) = 0

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

-1*X^2 = -5 // : -1

X^2 = 5

X^2 = 5 // ^ 1/2

abs(X) = 5^(1/2)

X = 5^(1/2) or X = -5^(1/2)

X^(1/4)*(X-5^(1/2))*(X+5^(1/2)) = 0

5*X^(1/4)*X^(3/7)*(X-5^(1/2))*(X+5^(1/2)) = 0

( 5*X^(3/7) )

5*X^(3/7) = 0 // : 5

X^(3/7) = 0

X = 0

( X+5^(1/2) )

X+5^(1/2) = 0 // - 5^(1/2)

X = -5^(1/2)

( X-5^(1/2) )

X-5^(1/2) = 0 // + 5^(1/2)

X = 5^(1/2)

( X^(1/4) )

1*X^(1/4) = 0 // : 1

X^(1/4) = 0

X = 0

X in { -5^(1/2)} 

X in { 0, 5^(1/2), 0 }