SOLUTION: 3. By using the Newton-Raphson’s method find the positive root of the quadratic equation 5x2 + 11x – 17 = 0 correct to 3 significant figures.

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Question 271650: 3. By using the Newton-Raphson’s method find the positive root of the quadratic equation
5x2 + 11x – 17 = 0 correct to 3 significant figures.

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
3. By using the Newton-Raphson’s method find the positive root of the quadratic equation 

     correct to 3 significant figures.




Choose , 






------------

, 






---------------

Checking it by the quadratic formula







Use the + to get the positive root:



So we only needed 1 iteration of the Newton-Rhaphson method
to get it to three significant figures, for what we had then
would have rounded to 1.05.  By taking it one more step we
have it to 4 significant figures 1.047.

Edwin
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