Question: Let (x) = x 3 - x - 1. a. Use the Intermediate Value Theorem to show that has a zero between -1 and

Let ƒ(x) = x3 - x - 1.


a. Use the Intermediate Value Theorem to show that ƒ has a zero between -1 and 2.


b. Solve the equation ƒ(x) = 0 graphically with an error of magnitude at most 10-8.


c. It can be shown that the exact value of the solution in part (b) is( + V60 ) 1 - ( 2 - V6D) 1/2 69


Evaluate this exact answer and compare it with the value you found in part (b).

( + V60 ) 1 - ( 2 - V6D) 1/2 69

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