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Daily Problem·Friday, 8 September 2023Back to today

Apply an iterative formula

GCSE · Mathematics · OCR · A20 — Find approximate solutions to equations using iteration

Question

(3 marks) The equation x³ + 2x − 7 = 0 can be rearranged to x = ∛(7 − 2x). Using x_(n+1) = ∛(7 − 2x_n) with x₀ = 1.5, find x₁, x₂ and x₃ to 4 decimal places.

3 marks · take your time before peeking.

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