Sorry, no online dictionaries contain the exact phrase newton's method for finding a root.

Reverse dictionary results:
1. affix
 2. meter
3. tree
4. shoe
5. science
6. resection
7. extraction
8. interpolation
9. work-study
10. discounting
 11. rule of three
12. layering
13. unit
14. fig
15. newtonian mechanics
16. poise
17. calculus
18. affixing
19. don
20. soho
 21. more
22. cam
23. fit
24. indigo
25. determination
26. determine
27. determining
28. blue
29. hall
30. atmosphere
 31. bar
32. lace
33. postmaster
34. pressure
35. sole
36. term
37. memorial
38. potential
39. size
40. kip

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