To calculate: The roots of the curve,
The roots are
The parabola that is closest to the origin .
We seek a solution of , starting from an initial estimate .
For , compute the next approximation by
and so on.
Distance Formula :-
Consider the parabola ,
Let the point on the parabola is .
The distance formula from point to origin is
The minimum distance without the square root will be same as the minimum distance with square root.
Therefore, used to find out roots using Newton’s Method.
Now, let initial approximation be
The second approximation is .
The third approximation is .
Hence , the roots of the curve are :-
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