((7/w)-w)(w^2)

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Solution for ((7/w)-w)(w^2) equation:


D( w )

w = 0

w = 0

w = 0

w in (-oo:0) U (0:+oo)

w^2*(7/w-w) = 0

w^2*(7*w^-1-w) = 0

7*w^-1-w = 0

w^-1*(7-w^2) = 0

-1*w^2 = -7 // : -1

w^2 = 7

w^2 = 7 // ^ 1/2

abs(w) = 7^(1/2)

w = 7^(1/2) or w = -7^(1/2)

w^-1*(w-7^(1/2))*(w+7^(1/2)) = 0

w^-1*w^2*(w-7^(1/2))*(w+7^(1/2)) = 0

( w+7^(1/2) )

w+7^(1/2) = 0 // - 7^(1/2)

w = -7^(1/2)

( w-7^(1/2) )

w-7^(1/2) = 0 // + 7^(1/2)

w = 7^(1/2)

( w^-1 )

1*w^-1 = 0 // : 1

w^-1 = 0

w naleu017Cy do O

( w^2 )

1*w^2 = 0 // : 1

w^2 = 0

w = 0

w in { 0}

w in { -7^(1/2), 7^(1/2) }

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