Question

Write an algorithm to find root of quadratic equation

Answer 1

Algorithm to find root of a quadratic equation

• Start.

• Input the value of a, b, c.

• Calculate k = b*b - 4*a*c.

• If (d < 0) Display "Roots are Imaginary, calculater1 = (-b +i ? k)/ 2a and r2 =(b + i? k)/ 2a. else if (d = 0) Display "Roots are Equal" and calculate r1 = r2 = (-b / 2*a) ...

• Print r1 and r2.

• Stop.

Answer 2

The algorithm to find the roots of a quadratic equation is written as follows.

• Start
• Find the constant and the coefficient of x². Multiply the two.
• Find the factors of the product such that the sum or the difference of the factors is equal to the coefficient of x.
• Split the middle term using the sum or the difference.
• Separate the common terms.
• Extract two routes from the common factors and print them.
• Stop.