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Numerade Educator

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Problem 22 Medium Difficulty

Use Newton's method to find all solutions of the equation correct to six decimal places.

$ \sin x = x^2 - 2 $

Answer

$x=-1.061550,1.728466$

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Video Transcript

The first thing we can do is take the derivative coastline Axeman Chew Rocks. We know our axe is going to be negative one. Then the next equation X minus Sign acts mass X squared, plus two. This part is divided by car. Drove it out. You pull again. We get native 1.6 You have 1.0 sex indicating what our first route is. Let's do the same thing again so we can conclude our two solutions to be negative. 1.0 sex 140 1.7 to 8 for sex, sex.