Numerical solutions of equations

Question 1

Finding roots

Answer 1

Between a sign change

Question 2

Iterations

Answer 2

Rearrange equation and sub primary x value, use the answer from that and keep repeating until the answer doesn’t change to the same dp

Question 3

Rearranging equation for for iterations

Answer 3

The smaller the modulus of the gradient the easier

If grad is negative root will approach in positive negative and will keep alternating

If grad is positive the root will approach steadily from one side