Question

- Draw the graph of each of the
possible read the zeroes from the graph
a) x^2 -2x +9
​

Answer 1

Answer:

Your equation is x^3 + bx - c = 0

with b = 1.2e-5 and c = 1.9e-9

You can rewrite it as

x = c /(b + x²)

If you iterate the above, starting with the initial solution x = 0, it will converge quickly (after 4 or 5 iterations) to the following solution

x = 1.58004611883064e-4

whose residual is of the order of e-26

You can get the same result with slightly less iterations if you use the algorithm of Newton-Raphson

Answer 2

Step-by-step explanation:

Your equation is x^3 + bx - c = 0

with b = 1.2e-5 and c = 1.9e-9

You can rewrite it as

x = c /(b + x²)

If you iterate the above, starting with the initial solution x = 0, it will converge quickly (after 4 or 5 iterations) to the following solution

x = 1.58004611883064e-4

whose residual is of the order of e-26

You can get the same result with slightly less iterations if you use the algorithm of Newton-Raphson