Using Fixed-Point Iteration for determining the root of x2+x−1 using the given manipulation: xi+1=sqrt(1−xi) with an initial guess of 0.5 , determine the value of xi+1in the fourth iteration.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Using Fixed-Point Iteration for determining the root of x2+x−1 using the given manipulation: xi+1=sqrt(1−xi) with an initial guess of 0.5 , determine the value of xi+1in the fourth iteration.

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