x^(3/2)-17x^(1/2)=0

Solution for x^(3/2)-17x^(1/2)=0 equation:

D( x )

x < 0

x < 0

x in <0:+oo)

x^(3/2)-(17*x^(1/2)) = 0

x^(3/2)-17*x^(1/2) = 0

t_1 = x^(1/2)

1*t_1^3-17*t_1^1 = 0

t_1^3-17*t_1 = 0

t_1*(t_1^2-17) = 0

1*t_1^2 = 17 // : 1

t_1^2 = 17

t_1^2 = 17 // ^ 1/2

abs(t_1) = 17^(1/2)

t_1 = 17^(1/2) or t_1 = -17^(1/2)

t_1 = 0

t_1 = 0

t_1 = 17^(1/2)

x^(1/2)-17^(1/2) = 0

1*x^(1/2) = 17^(1/2) // : 1

x^(1/2) = 17^(1/2)

x^(1/2) = 17^(1/2) // ^ 2

x = 17

t_1 = -17^(1/2)

x^(1/2)+17^(1/2) = 0

1*x^(1/2) = -17^(1/2) // : 1

x^(1/2) = -17^(1/2)

( -17^(1/2) < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = 0

x^(1/2)+0 = 0

x^(1/2) = 0

1*x^(1/2) = 0 // : 1

x^(1/2) = 0

x = 0

x in { 17, 0 }