Question

      Design an algorithm for each of the exercises and type it into a word document. Upload the document to PE1 assignment folder.

1. The roots of quadratic equation:

Design an algorithm to find the real roots of a quadratic equation of the form ax²+bx+c=0, where a, b, c are all real numbers and a is nonzero

Answer 1

Algorithm to find the real roots of a quadratic equation of the form ax^2+bx+c=0,where a,b,c are all real numbers and a is nonzero

ALGORITHM:

1. Start
2. Declare the required variables which are needed
3. Read the coefficients a,b,c of the given quadratic equation
4. Calculate d=b^2-4ac
5. IF d<0,display “roots for the given quadratic equation are imaginary” & goto step 6

else

Calculate x1=(-b+sqrt(d))/2a

x2=(-b-sqrt(d))/2a

6. Display real roots x1,x2
7. stop