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

Expert Answers
gsarora17 eNotes educator| Certified Educator




See the attached graph. The curve of the function intersects the x-axis at x `~~` 1.4 and 3. These can be used as initial approximates. Iterate until six digit decimal places are same.


For x_1=1.4





For x_1=3






Roots of the equation are 1.412391 , 3.057103

This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)