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How Many Real Roots Does the Equation x57x+c=0x ^ { 5 } - 7 x + c = 0

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How many real roots does the equation x57x+c=0x ^ { 5 } - 7 x + c = 0 have in the interval [1,1][ - 1,1 ] ?


Definitions:

Dissociation

The process by which a member of a partnership or an entity withdraws or is removed from the entity, causing changes in the entity's structure or operations.

Partnership Term

The duration for which a partnership agreement is set to exist, which can be indefinite or fixed, as specified in the partnership agreement.

Partnership Obligations

The duties and responsibilities that partners within a business partnership must fulfill, which may include contributing capital, sharing in profits and losses, and acting in the partnership’s best interest.

Assumed Liability

Liability that a party takes on voluntarily from another party, often seen in business acquisitions where the buyer takes on liabilities of the seller.

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