w^(2)*3*w^(2)=3*w^(((1)/(2)))

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Solution for w^(2)*3*w^(2)=3*w^(((1)/(2))) equation:


D( w )

w < 0

w < 0

w in <0:+oo)

3*w^2*w^2 = 3*w^(1/2) // - 3*w^(1/2)

3*w^2*w^2-(3*w^(1/2)) = 0

3*w^2*w^2-3*w^(1/2) = 0

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

t_1 = w^(1/2)

3*t_1^8-3*t_1^1 = 0

3*t_1^8-3*t_1 = 0

3*t_1*(t_1^7-1) = 0

1*t_1^7 = 1 // : 1

t_1^7 = 1

t_1^7 = 1 // ^ 1/7

t_1 = 1

3*t_1 = 0

3*t_1 = 0 // : 3

t_1 = 0

t_1 = 1

w^(1/2)-1 = 0

1*w^(1/2) = 1 // : 1

w^(1/2) = 1

w^(1/2) = 1 // ^ 2

w = 1

t_1 = 0

w^(1/2)+0 = 0

w^(1/2) = 0

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

w^(1/2) = 0

w = 0

w in { 1, 0 }

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