Question: Use Newtons method with the specified initial approximation x 1 to find x 3 , the third approximation to the solution of the given equation.

Use Newton’s method with the specified initial approximation x₁ to find x₃, the third approximation to the solution of the given equation. (Give your answer to four decimal places.)

x⁵ = x² + 1, x₁ = 1

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