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How do you prove what a b and c equals if a plus b plus c equals 24 and a2 plus b2 equals c2?
Roughly speaking, to get a unique solution - or at least, a limited number of solutions - if you have 3 variables, you need 3 equations, not just 2. With the two equations, you can get a relationship between the three variables, but not a unique value for a, b, and c. To get the general relationship, solve both equations for "c", replace one in the other, and solve the resulting equation for "a" to get the relationship between the variables "a" and "b". Then, for any valid combination of values for "a" and "b", use the simpler of the original equations (a + b + c = 24) to get the corresponding value for "c".
3 times the sum of one plus three times a numbers is 57 What is the number A equals 6.2 B equals 18.7 C equals 6 D equals 9?
C. 6
C plus plus program to implement quadratic probing?
Quadratic probing is a collision resolution technique used in hash tables. In C++, you can implement it by defining a hash table class and a hash function, then using a quadratic formula to calculate the next index when a collision occurs. The formula typically used is (hash + i^2) % table_size, where i is the number of attempts. Here's a simple implementation outline: #include <iostream> #include <vector> class QuadraticProbingHashTable { std::vector<int> table; int size; public: QuadraticProbingHashTable(int s) : size(s), table(s, -1) {} void insert(int key) { int index = key % size; int i = 0; while (table[index] != -1) { index = (index + i * i) % size; // Quadratic probing i++; } table[index] = key; } void display() { for (int i = 0; i < size; i++) std::cout << i << ": " << table[i] << std::endl; } }; This code snippet initializes a hash table, inserts keys using quadratic probing, and displays the table's contents.
Sum of the digits of a number equals the number.Generate such numbers?
It appears that only single digit numbers work (0 thru 9)
How to calculate Material balance for edible oil manufacturing process?
In any process, the material balance follows a universal equation: Accumulation = Input - Output + Generation The Generation term is omitted if we are talking about the overall mass (mass is nether created nor destroyed [unless it's a nuclear plant]), and the accumulation term can be omitted if we are at steady-state. Draw a box around the process that you want to consider and look at the inputs and outputs of each stream. The material balance can be solved if the number of equations equals the number of unknowns.
What is the value of x in the equation x squared minus x plus 7 equals 3?
The equation does not have a real number solution. Using the quadratic formula will give it's conjugate pair complex solution.
What is the expression b2-4ac under the radical sign in the quadratic formula?
6
What is the quadratic equation of -x2-4 equals 14 using the complex number system?
The equation is -x2 - 4 = 14 or -x2 = 18 which is the same as x2 = -18. That is the quadratic equation.
What is the quadratic equation of x2 equals -11 using the complex number system?
13
The number of solution a quadratic equation has?
A quadratic equation always has 2 solutions.In the instance of perfect squares, however, there will be just one number, which is a double root. Graphically, this is equivalent of the vertex of a parabola just barely touching the x-axis.
How to make an equation equaling six or three.?
An equation never equals a number, but its solution often does.-- An equation with a solution of six: [ 3x - 14 = 4 ]-- An equation with a solution of three: [ 14 - 10x = -16 ]-- An equation with both solutions: [ x2 - 9x + 20 = 2 ]An equation that equals 6 is 10 - 4 = 6An equation that equals 3 is 10 - 7 = 3
Explain how the number of solutions for a quadratic equation relates to the graph of the function?
The number of solutions for a quadratic equation corresponds to the points where the graph of the quadratic function intersects the x-axis. If the graph touches the x-axis at one point, the equation has one solution (a double root). If it intersects at two points, there are two distinct solutions, while if the graph does not touch or cross the x-axis, the equation has no real solutions. This relationship is often analyzed using the discriminant from the quadratic formula: if the discriminant is positive, there are two solutions; if zero, one solution; and if negative, no real solutions.
What is the property that you can subtract the same number from both sides of an equation the new equation will have the same solution?
The property is: If equals are subtracted from equals, the results are equal.
What is the difference between quadratic formula and quadratic equation?
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
Identify the number of solutions to the quadratic equation 4x2 - 4x plus 1 equals 0?
4x2 - 4x + 1 = 0 => (2x - 1)(2x - 1) = 0 => (2x - 1)2 = 0 There is one solution: x = 1/2. It is a repeated root of the equation.
How many solutions does the equation have?
The number of solutions an equation has depends on the nature of the equation. A linear equation typically has one solution, a quadratic equation can have two solutions, and a cubic equation can have three solutions. However, equations can also have no solution or an infinite number of solutions depending on the specific values and relationships within the equation. It is important to analyze the equation and its characteristics to determine the number of solutions accurately.
Is it possible for an equation to have more than one correct solution?
Definitely.The equation [ x^2 = 4 ] has two solutions.x = +2x = -2The square root of any number can be a positive number or its negative. The solution for a quadratic equation often has two different values. However having two different values is still a single solution.
