Q3: Write a C++ program to Find All Roots of a Quadratic Equation. Tip for Q3: This program accepts coefficients of a quadratic equation from the user and displays the roots (both real and complex roots depending upon the discriminant). For a quadratic equation ax2+bx+c = 0 (where a, b and c are coefficients), it's roots is given by following the formula -b t Vb 4ac 2a The term b2-4ac is known as the discriminant of a quadratic equation. The discriminant tells the nature of the roots. If discriminant is greater than 0, the roots are real and different. If discriminant is equal to 0, the roots are real and equal. If discriminant is less than 0, the roots are complex and different.
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- Q3: Write a C++ program to Find All Roots of a Quadratic Equation. Tip for Q3: This program accepts coefficients of a quadratic equation from the user and displays the roots (both real and complex roots depending upon the discriminant). For a quadratic equation ax2+bx+c = 0 (where a, b and c are coefficients), it's roots is given by following the formula 2 -b + Vb - 4ac 2a The term b2-4ac is known as the discriminant of a quadratic equation. The discriminant tells the nature of the roots. If discriminant is greater than 0, the roots are real and different. If discriminant is equal to 0, the roots are real and equal. If discriminant is less than 0, the roots are complex and different.In C++ (Algebra: solve 2 × 2 linear equations) You can use Cramer’s rule to solve the following 2 × 2 system of linear equation: ax + by = ecx + dy = fx = (ed - bf) / (ad - bc)y = (af - ec) / (ad - bc) Write a program that prompts the user to enter a, b, c, d, e and f and displays the result. If ad - bc is 0, report that “The equation has no solution”. Sample Run 1 Enter a, b, c, d, e, f: 9.0 4.0 3.0 -5.0 -6.0 -21.0 x is -2 and y is 3 Sample Run 2 Enter a, b, c, d, e, f: 1.0 2.0 2.0 4.0 4.0 5.0 The equation has no solutionC-Language The goal of this problem is to find the smallest integer in a list of numbers. To help you with this task, please write a function called min() that finds and returns the smallest amongst two integers (be sure to also write a prototype for this function). The function thus takes two integers as input and returns the smallest of the two. This function will use an if statement with a condition that contains either "less than" or "greater than". Next, please use min() in your main function to work your way through an entire list of numbers in order to find its minimum. The first number you read gives the number of elements in the list of integers under consideration. You will then read the integer values, using min() to keep only the smallest integer read at each step. In the end, please print out the smallest integer in the list. Example Input 104 3 6 2 6 8 9 8 5 4 Output 2
- Triangle.cpp is a C++ program.Is recurrence truly possible? You can see this by running the triangle.cpp application. To compute triangular integers, the software employs iteration. Enter a value for the term number, n, and the software will show the triangular number's value. demonstrate the triangle.cpp applicationC PROGRAM Write a program that asks the user values for the coefficient A,B, and C in the quadratic equation Ax^2 + Bx + C= 0, and then prints the solution/s of the equation (if there is/are any) For this problem, you need to include the following header file: math.h So that you can use the C library function sqrt() The function sqrt() computes the square root of a value (in double) Use #include <stdio.h>#Solve it with C programing Mr. X is a student of Computer Science. He is facing a problem and needs your help to solve it.The problem is, you will be given N integer numbers( 4<n<=100) which are arranged side by side (x1,x2,x3,x4,.....).Now you have to sort those items in ascending order. After doing this , your job is to print the items in a sorted way and find the median.[NB: when N is odd , Median= (N+1)/2; When N is even Median= (N/2)+1 ] Sample Input: 74 7 11 2 9 3 5Sample Output:2 3 4 5 7 9 115
- Q1:Write C code for a program that reads two positive integer number, checks whether these number are co-prime or not, and prints the result.Note: two numbers are co-prime numbers if they do not have a common factor other than 1. For example, 10 and 11 are co-prime.Q3:-Write a program in C++ that finds The following equation (Note : Taking into consideration the priority) Z-pr % q + w/x - y* zProblem Description: In the Whimsical Library, each book is enchanted with a magical code to ensure the protection of knowledge. The validation process for these magical codes involves a combination of mathematical spells. The validation process is described as follows: Take the sum of the digits at odd positions from left to right. Take the sum of the squared digits at even positions from left to right. If the absolute difference between the results from step 1 and step 2 is a prime number, the book code is considered valid; otherwise, it is invalid. Example 1: Consider the magical book code 86420137. Step 1. Take the sum of the digits at odd positions from left to right. 8+4+0+3=15 Step 2. Take the sum of the squared digits at even positions from left to right. 6^2+2^2+1^2+7^2=36+4+1+49 = 90 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 115-901 75 (not a prime number) Book code 86420137 is invalid. Example 2: Now, let's examine the…
- Brute force equation solver this is python program. Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: 3 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in…Q2: write a complete program in c++ Language to input a number and check if a number is less than or equal to 85, add 10 to it, otherwise subtract 5 from it.in C++ Review - for loops, if-else, switch, functions Many computer applications, such as Microsoft Excel, can compare date values that occur after January 1, 1900. For example, these programs can determine if 06/06/99 is less than (comes before) 11/01/00. They use January 1, 1900 as their reference point. This becomes day 1. All other dates are calculated as to the number of days they are relative to January 1, 1900. For example January 2, 1900 is equal to 2. October 31, 2000 is equal to 36829. Notwithstanding, Excel cannot tell you which day of the week these two dates fell on. For this assignment, you are to write a C++ program which will: Have the User enter in a date. Calculate the "day value" of that date. For this you will need to write several functions as stated below. A function that determines if a year is a leap year. A function that determines the number of days in a month. Remember if the year is a leap year then February has 29 days. You…