Question

USING MATLAB

Write a program called QuadProg that determines the roots of a quadratic equation. Use functions to implement each action. Zip you directory of *.m files into a single file and turn this in on BBLearn under Class Activities.

QuadProg

• write a function called getInputs to get a single input value.
• write a function called findDiscriminant
• write a function called findDenominator
• write a function called findRoot
  • which will be used for both roots
• write a function called displayResults

displayResults should have two inputs: displayResults(string, value);

max_of_two=getLargerOfTwo(A,B);

str1='max of A and B is';

displayResults(str1,max_of_two);

isEven/isOdd

Write these two functions that determine if the inputs to the QuadProg are even or odd.

• write a function called isEven
• write a function called isOdd
• Reuse displayResults to show the results.

Now update the QuadProg program to report:

• has no roots - imaginary
• has one root
• has two roots
• Reuse displayResults to show the results.

getLargerOfTwo

Write a function that gets 3 inputs and then finds the max of two numbers and reuse the same function to get the max of 3 numbers. Put this code below the Quadratic code.

• reuse getInputs to get 3 values.
• write a function getLargerOfTwo
• Then use the same function getLargerOfTwo to create a getLargestOfThree function
• Reuse displayResults to show the results.

Answer 1

:: Solution ::

function inpvalue = getInput()
    inpvalue = input("Please enter value:");
end

function discriminant = getDiscriminant(a,b,c)
    discriminant = b*b - (4*a*c);
end

function Denominator = findDenominator(a)
     Denominator = 2*a;
end

function [root1,root2] = findRoot(Denominator,discriminant,b)
     root1 = -1*b + sqrt(discriminant);
     root1 = root1/Denominator;
     root2 = -1*b - sqrt(discriminant);
     root2 = root2/Denominator;
end

function displayResults()
    a = getInput();
    b = getInput();
    c = getinput();
    discriminant = getDiscriminant(a,b,c);
    Denominator = findDenominator(a);
    root1,root2 = findRoot(Denominator,discriminant,b);
    disp(root1);
    disp(root2);
    if(root1 > root2)
        disp(root1)
    else
        disp(root2)
    end
end

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