Could you plz use c programming, and include: includeAnd printf and scanf 2. When floating point numbers (i.e. float) are added in C, round- off errors can occur if thenumbers differ by more than 7 significant digits.To illustrate this round-off problem, write a program to use the quadratic formula to solvear²+bx+c=0 for read-in values of a, b, and c. This program must use the data type floatthroughout.Your program input/output should look like:Enter the three coefficients: 1-5 6a = 1.000000b=-5.000000c= 6.000000root1= 3.000000root2 = 2.000000Try your program on twice using the values:case 1:case 2:1.0b=-5.0a-C-6.0In case 1 you should get the roots to be 2.0 and 3.0.In case 2 there will be precision problems and the estimated roots will be near but not equalto the true roots of 5.0000 and 5.0001.Recall that the quadratic formula can be computed in three equations:d = √b² - 4ac-b+drootl=1.0b= -10.0001C= 25.00052a-b-droot2 =2aIn your program you must use these formulas in this order to illustrate the round-off problem.3. Modify your program in question 2 to use the data type double rather than float. Run yourprogram for the same cases and comment on the accuracy in your output.

Answered: 2. When floating point numbers (i.e.…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter7: Arrays

Section: Chapter Questions

Problem 8PP: (Statistical) In many statistical analysis programs, data values considerably outside the range of...

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Could you plz use c programming, and include: include And printf and scanf

2. When floating point numbers (i.e. float) are added in C, round- off errors can occur if the
numbers differ by more than 7 significant digits.
To illustrate this round-off problem, write a program to use the quadratic formula to solve
ar²+bx+c=0 for read-in values of a, b, and c. This program must use the data type float
throughout.
Your program input/output should look like:
Enter the three coefficients: 1-5 6
a = 1.000000
b=-5.000000
c= 6.000000
root1= 3.000000
root2 = 2.000000
Try your program on twice using the values:
case 1:
case 2:
1.0
b=-5.0
a-
C-
6.0
In case 1 you should get the roots to be 2.0 and 3.0.
In case 2 there will be precision problems and the estimated roots will be near but not equal
to the true roots of 5.0000 and 5.0001.
Recall that the quadratic formula can be computed in three equations:
d = √b² - 4ac
-b+d
rootl=
1.0
b= -10.0001
C= 25.0005
2a
-b-d
root2 =
2a
In your program you must use these formulas in this order to illustrate the round-off problem.
3. Modify your program in question 2 to use the data type double rather than float. Run your
program for the same cases and comment on the accuracy in your output.

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I will be provide answers question 3):-

// C program to find roots using double datatype
#include <stdio.h>
#include<math.h>
int main()
{ // To declare coefficients x,y and z of double datatype
double x,y,z;

printf("Enter the three coefficients: ");
// the user inputs and store it in x,y and z
scanf("%lf%lf%lf",&x,&y,&z);
// initialise variable d of double datatype to store discriminant using formula
double d= (y*y)-(4*x*z);

// To perform square root using sqrt() function present in math.h
d=sqrt(d);

// To declare variable roots1 and store first root
double roots1=(-y+d)/(2*x);
// declare variable roots2 to store second root
double roots2=(-y-d)/(2*x);
// print roots1 and roots2
printf("roots1=%lf roots2=%lf",roots1,roots2);

return 0;

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