The equation In x 2 - 6/2 = x - 5 has a root , such that

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The equation In x2 - 6/2 = x - 5 has a root α, such that p < α <q, where p and q are consecutive integers.

a. Show that α also satisfies the equation x = ln x + 2.

b. Find the value of p and the value of q.

c. Use the iterative formula based on the equation in part a with starting value x = p, to find the value of α correct to 3 decimal places.

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