Plz answer Q2 using c programming.include:#include AndPrintf 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.

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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: 1-56 a = 1.000000 b= -5.000000 c= 6.000000 rootl= 3.000000 root2 = 2.000000 Try your program on twice using the values: case 1: case 2: a = 1.0 b=-5.0 6.0 C- 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= a = 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.

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: 1-56 a = 1.000000 b= -5.000000 c= 6.000000 rootl= 3.000000 root2 = 2.000000 Try your program on twice using the values: case 1: case 2: a = 1.0 b=-5.0 6.0 C- 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= a = 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.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter9: Completing The Basics

Section9.5: Input Data Validation

Problem 1E

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