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e Write a function that uses a, b and c as inputs to characterize ((i.e., non-equal real, equal real or non-equal complex roots) and compute the roots of the quadratic equation.

e Write a function that uses a, b and c as inputs to characterize ((i.e., non-equal real, equal real or non-equal complex roots) and compute the roots of the quadratic equation.

Advanced Engineering Mathematics
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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The roots of the quadratic equation ax² + bx + c = 0 are given by (i) X = Based on the sign of the discriminant D (i.e. D= b² - 4ac), it is possible to discern the nature of the roots according to: (ii) -b± √b² - 4ac 2a D>0: A pair of non-equal real valued roots. D=0: A pair of equal real valued roots. D<0: A pair of non-equal complex valued roots. Write a function that uses a, b and c as inputs to characterize ((i.e., non-equal real, equal real or non-equal complex roots) and compute the roots of the quadratic equation. Write an M-file that tells the user if the quadratic equation ax² + bx + c = 0 with input values of a, b and c has 1) Two real roots with opposite signs 2) Two complex roots 3) Plot the curve y = ax² + bx + c over sufficient intervals (i.e., from 0.5 times of the smallest root to 1.2 of the largest root) to illustrate the results obtained in (1) and (2).
Transcribed Image Text:The roots of the quadratic equation ax² + bx + c = 0 are given by (i) X = Based on the sign of the discriminant D (i.e. D= b² - 4ac), it is possible to discern the nature of the roots according to: (ii) -b± √b² - 4ac 2a D>0: A pair of non-equal real valued roots. D=0: A pair of equal real valued roots. D<0: A pair of non-equal complex valued roots. Write a function that uses a, b and c as inputs to characterize ((i.e., non-equal real, equal real or non-equal complex roots) and compute the roots of the quadratic equation. Write an M-file that tells the user if the quadratic equation ax² + bx + c = 0 with input values of a, b and c has 1) Two real roots with opposite signs 2) Two complex roots 3) Plot the curve y = ax² + bx + c over sufficient intervals (i.e., from 0.5 times of the smallest root to 1.2 of the largest root) to illustrate the results obtained in (1) and (2).
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