Question

MATLAB Coursework Task 2: [25 marks] The roots of the quadratic equation ax^2 + bx + c = 0 are given by x = (-b ± sqrt(b^2 - 4ac)) / (2a) Based on the sign of the discriminant D (i.e. D = b^2 - 4ac), it is possible to discern the nature of the roots according to: • 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. (i) 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. (ii) Write an m-file that tells the user if the quadratic equation ax^2 + 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 ax^2 + bx + c = 0 over sufficient intervals (i.e., from 0.9 times of the smallest root to 1.1 of the largest root) to illustrate the results obtained in (1) and (2).

          MATLAB Coursework

Task 2:                                           [25 marks]

The roots of the quadratic equation ax^2 + bx + c = 0 are given by

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

Based on the sign of the discriminant D (i.e. D = b^2 - 4ac), it is possible to discern the nature of the roots according to:

• 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.

(i) 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.

(ii) Write an m-file that tells the user if the quadratic equation ax^2 + 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 ax^2 + bx + c = 0 over sufficient intervals (i.e., from 0.9 times of the smallest root to 1.1 of the largest root) to illustrate the results obtained in (1) and (2).

MATLAB Coursework

Task 2: [25 marks]

The roots of the quadratic equation ax^2 + bx + c = 0 are given by

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

Based on the sign of the discriminant D (i.e. D = b^2 - 4ac), it is possible to discern the nature of the roots according to:

• 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.

(i) 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.

(ii) Write an m-file that tells the user if the quadratic equation ax^2 + 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 ax^2 + bx + c = 0 over sufficient intervals (i.e., from 0.9 times of the smallest root to 1.1 of the largest root) to illustrate the results obtained in (1) and (2).

Added by Austin G.

Question

Please give Ace some feedback