Chapter 12.3, Problem 1CE

To determine

To write a BASIC program that will solve quadratic equations by using the quadratic formula and provide the output if $b^2-4ac$ is negative.

Explanation of Solution

Given:

The quadratic equation is of the form $a{x}^2+bx+c$

Calculation:

The following is the required BASICProgram-

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  LET $x_1=(-(b)+sqrt(D))/2\times a$

70  LET $x_2=(-(b)-sqrt(D))/2\times a$

80 ELSE

90  PRINT “Roots are imaginary”;

100 PRINT “The first root is”: $x_1$

110 PRINT “The second root is”: $x_2$

120 END

DRY RUN of the program:-

INPUT:

Enter the value of a

  $a=2$

Enter the value of b

  $b=1$

Enter the value of c

  $c=3$

OUTPUT:

The roots are imaginary.