Solving a Polynomial Equation with Complex Roots Judy Johnson • Vicki Phillips CALCULATORS: Casio: fx-9750G Plus & cfx-9850G Series TI: TI-83 Plus, TI-84 Plus & TI-83/TI-84 Plus Silver Editions CASIO GRAPHING CALCULATORS TI GRAPHING CALCULATORS Problem: Problem: Solve the equation x3 – 3x2 + x – 3 = 0 for both real and complex roots. Solve the equation x3 – 3x2 + x – 3 = 0 for both real and complex roots. Go to the EQUATION SOLVER Menu by pressing Menu A and follow the given steps to solve the equation. Before starting the problem, select MODE and choose complex roots, otherwise the calculator will not give the complex roots. 1. Press F2 (Polynomial). 2. Press F2 (Degree of 3). 3. Enter the coefficients and the constant term into the matrix. The screen should look like the one below. 1. Press APPS and arrow down to select Poly Smlt. Press ENTER. 2. Press ENTER again to get into the application. The screen will look like the one below. 3. Select Poly Root Finder and press ENTER. 4. Input 3 and press ENTER 5. Enter the coefficients and the constant term. The screen will look like the one below. 4. Press F1 (Solve). The screen shown below gives the real, as well as the complex roots. 6. Press F5 (Solve) The screen will look like the one below. THE CASIO ADVANTAGE • • • Intuitive equation Solver menu option on the Casio Same results with fewer keystrokes Same results at approximately 1/2 the cost Solving a Polynomial Equation with Complex Roots 1 © Casio, Inc. • For Classroom Use Only
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