3x - 6 + 7x-2x ; x = 4 Need help
2 answers:
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The calculus approach is to use Newtons Method:
where
Start with initial guess of "a".
After 4 or 5 iterations, you should get a close approximation to
...............
If you wanted a non-calculus approach, I would suggest divide and conquer.
First determine which 2 integers the sqrt lies in between by perfect squares.
Then use midpoint
for next guess, if
then repeat with "m" = midpoint. Otherwise repeat with "n" = midpoint.
Continue until you have a good approximation, about 6-8 decimal points.
where
Start with initial guess of "a".
After 4 or 5 iterations, you should get a close approximation to
...............
If you wanted a non-calculus approach, I would suggest divide and conquer.
First determine which 2 integers the sqrt lies in between by perfect squares.
Then use midpoint
then repeat with "m" = midpoint. Otherwise repeat with "n" = midpoint.
Continue until you have a good approximation, about 6-8 decimal points.