Chapter 12.4, Problem 2CE

To determine

To write a program to find the value of discriminant and then number of real roots of given equation.

Explanation of Solution

Given:

The given quadratic equation is $4x^2+28x+49=0$

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 “There exists two real roots”;

100 ELSE

110  PRINT “The nature of roots is imaginary”.

120 END

DRY RUN of the program:-

INPUT:

Enter the value of a

  $a=4$

Enter the value of b

  $b=28$

Enter the value of c

  $c=49$

OUTPUT:

The nature of roots is double real root.