Solving polynomial equations by iteration  Quadratic Equations
Solving polynomial equations by iteration
Lessons
Notes:
In this lesson, we will learn:
 Solving Equations Using Direct Iteration
 Evaluating equations Using Iteration by Bisection
 Analyzing Equations Using NewtonRaphson Method
• Direct iteration:
1. Rearrange the original equation such that the term in which the variable with the highest exponent is isolated.
2. Leave the variable on its own on the LHS by performing inverse operation.
3. The LHS becomes $x_{n+1}$.
4. The RHS becomes $x_n$.
• Iteration by bisection:
1. Shrink the interval where the roots lies within 2 equal parts.
2. Decide in which part the solution resides.
3. Repeat the steps until a consistent answer is achieved.
• NewtonRaphson method:

Intro Lesson
Introduction to solving polynomial equations by iteration

1.
Solving Equations Using Direct Iteration

2.
Solving Equations Using Direct Iteration

5.
Analyzing Equations Using NewtonRaphson Method
Given $x^26x+5=0$.