3. (Complex Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 2² + (6 − 3i): + 15 – 23i = 0 by performing the following steps: (i) find the discriminant A of the equation; (ii) use a scientific calculator to find the roots A1,2 of degree two of the discriminant; please include the listing/text of the program for a calculator in your solution, and provide a decimal approximation of the polar form of A to five decimal places; (iii) use (ii) to find the solutions 21, 22 of the equation. Please give a complete solution to the problem.
3. (Complex Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 2² + (6 − 3i): + 15 – 23i = 0 by performing the following steps: (i) find the discriminant A of the equation; (ii) use a scientific calculator to find the roots A1,2 of degree two of the discriminant; please include the listing/text of the program for a calculator in your solution, and provide a decimal approximation of the polar form of A to five decimal places; (iii) use (ii) to find the solutions 21, 22 of the equation. Please give a complete solution to the problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. (Complex Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation
22 + (6 – 31)z + 15 – 23i = 0
by performing the following steps:
(i) find the discriminant A of the equation;
(ii) use a scientific calculator to find the roots A1,2 of degree two of the discriminant; please include the listing/text of
the program for a calculator in your solution, and provide a decimal approximation of the polar form of A to five decimal
places;
(iii) use (ii) to find the solutions 21, 22 of the equation.
Please give a complete solution to the problem.
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