Solve the Problem $5 x ^ { 5 } - 2 x - 3 = 0$

question 285

Essay

Solve the problem.
-Use Newton's method to estimate the one real solution of the equation $5 x ^ { 5 } - 2 x - 3 = 0$ . Start with $x _ { 1 } = 1$ . Then, in each case find $x _ { 2 }$ .

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Definitions:

Dividend Paid

Cash payment distributed to shareholders out of a company’s earnings, reflecting a return on the investment made in the company's equity.

Repurchase Outstanding

A corporate finance strategy where a company buys back its own shares from the marketplace, reducing the number of outstanding shares.

Current Ratio

A ratio that determines a company's capacity to fulfill immediate financial commitments using its present assets.

Total Debt Ratio

A financial metric that compares the total debt of a company to its total assets, indicating the leverage and financial risk of the company.