`sin(x) = x^2 - 2` Use Newton's method to find all roots of the equation correct to six decimal places.

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gsarora17 eNotes educator| Certified Educator




See the attached graph. From the graph, the curve of the function intersects the x-axis at `~~` -1.05 and 1.70. These can be used as initial approximations for further iteration.


For x_1=-1.05




carry out iteration until six digit decimal places are same



Now for x_1=1.70







Roots of the equation to six decimal places are -1.061550 , 1.728466

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