Solve the Problem $2 x - 4 x ^ { 2 } + 3 = 0$

question 366

Essay

Solve the problem.
-Use Newton's method to estimate the solutions of the equation $2 x - 4 x ^ { 2 } + 3 = 0$ . Start with $x _ { 1 } = 1.5$ for the right-hand solution and with $x _ { 0 } = - 1$ for the solution on the left. Then, in each case find $x _ { 2 }$ .

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Definitions:

Product

Substance formed by a chemical reaction. Compare with reactant.

Valence Shell

The outermost shell of an atom containing the electrons most involved in forming chemical bonds.

Nitrogen

A chemical element with symbol N and atomic number 7, essential for all living organisms as it is a key component of amino acids and nucleic acids.

Electrons

Particles within atoms that carry a negative electrical charge and serve as the main conductors of electrical current in solids.