MERS Method for Complex Roots

Solving linear equations

Finding real roots of equations

Finding complex roots of equations

Graphing functions

It uses a parabola through three points

It uses a circle through two points

It uses a straight line projection

It uses a hyperbola through four points

To determine the y-intercept

To find the slope of the line

To calculate the area under the curve

To substitute into the quadratic formula

Solve the 2x2 linear system

Evaluate the functional values of initial approximations

Compute the next approximation

Test for convergence

x0 = -2, x1 = -1, x2 = 0

x0 = 1, x1 = 2, x2 = 3

x0 = -1, x1 = 0, x2 = 1

x0 = 0, x1 = 1, x2 = 2

To calculate the error margin

To determine the coefficients A and B

To graph the function

To find the roots directly

By solving a cubic equation

By using a graphical method

By using the quadratic formula with derived coefficients

By averaging the initial approximations

When the error is greater than a threshold

When the number of iterations is less than n

When the error is negligible

When the function value is zero

Graphing calculator

Matlab

Excel

Python