x^(3/2)-66x^(1/2)

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Solution for x^(3/2)-66x^(1/2) equation:


D( x )

x < 0

x < 0

x in <0:+oo)

x^(3/2)-(66*x^(1/2)) = 0

x^(3/2)-66*x^(1/2) = 0

t_1 = x^(1/2)

1*t_1^3-66*t_1^1 = 0

t_1^3-66*t_1 = 0

t_1*(t_1^2-66) = 0

1*t_1^2 = 66 // : 1

t_1^2 = 66

t_1^2 = 66 // ^ 1/2

abs(t_1) = 66^(1/2)

t_1 = 66^(1/2) or t_1 = -66^(1/2)

t_1 = 0

t_1 = 0

t_1 = 66^(1/2)

x^(1/2)-66^(1/2) = 0

1*x^(1/2) = 66^(1/2) // : 1

x^(1/2) = 66^(1/2)

x^(1/2) = 66^(1/2) // ^ 2

x = 66

t_1 = -66^(1/2)

x^(1/2)+66^(1/2) = 0

1*x^(1/2) = -66^(1/2) // : 1

x^(1/2) = -66^(1/2)

( -66^(1/2) < 0 i 1/2 in (0:1) ) => x należy 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 { 66, 0 }

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