Chapter 7.3, Problem 1CE

To determine

To write a program in which the user enters coefficients a, b and c of the given quadratic equation and then prints the nature of roots (imaginary roots, a double real root, rational real roots or irrational real roots).

Explanation of Solution

Given:

The given quadratic equation is $a{x}^2+bx+c=0$

Calculation:

The following is the required BASIC Program-

10 INPUT “Enter the value of a”: a

20 INPUT “Enter the value of b”: b

30 INPUT “Enter the value of c”: c

40 LET $D=(b\times b-4\times a\times c)$

50 IF $D=0$

60 PRINT “The nature of roots is double real root.”

70

80 ELSE IF $D>0$

90 PRINT “The nature of roots is rational real roots or irrational”;

100 ELSE

110 PRINT “The nature of roots is imaginary”.

120 END

DRY RUN of the program:-

INPUT:

Enter the value of a

  $a=1$

Enter the value of b

  $b=-4$

Enter the value of c

  $c=2$

OUTPUT:

The nature of roots is rational real roots or irrational.