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Consider the equation x 7 + 2x -2 = 0 1. Use the Intermediate Value Theorem to show that the equation must have at least

Consider the equation x⁷+ 2x -2 = 0

1. Use the Intermediate Value Theorem to show that the equation must have at least one real root in the interval [0, 1]

2. Use Newton's Method to approximate the value of the root accurate to 6 decimal places.

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