Linear Programming Linear Programming Friend's today we are going to discuss about free math problem solver and its role in solving linear and quadratic equations. Nowadays the math problem solvers are available over the internet which helps to solve our complicated problems in a better and faster manner and teaches us the basic concepts behind the problems. As it shows each and every step of the solution, while solving a problem. firstly we are going to know about linear programming solver. Now the first question arises is what is a Linear equation? In simple mathematical manner we can say that any equation that produces a straight line when it is represented graphically, then the equation is called as Linear Equation. Equation : An equation is basically a condition on the variable. The common form of a linear equation in the two variables like x and y is y = mx + b
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where x and y are two variables and m and b are two constants. The constant m determines the slope or gradient of that line and the constant b shows the point at which line crosses the Y-axis. Constant b also known as Y-Intercept. Linear Equation conditions: *&sZ&yjdvI0o Variables in a linear equation cannot have exponents or powers for example square of x Variables cannot divide or multiply each other in a linear equation. Like xy or x/y . Variables cannot be found under a root sign or square root sign for example ?x. In linear programming solver we need to enter the linear equation and the solver shows us all the steps to solve the given problem with the required solution. It reduces the human efforts and teaches us the basic concept to solve a problem. Now we are going to see how can we solve a quadratic equation using Quadratic Formula Solver. The first question comes in our mind is what is a Quadratic Equation? A quadratic equation is a polynomial equation of the second order. The common form of quadratic equation is : ax² + bx + c = 0 where x is a variable and a, b and c are constants. Here a is quadratic coefficient, b is a linear coefficient and c is a constant term or we can say that it is a free term. Quadratic equation is ax² + bx + c = 0 and it has the solutions -b±root of squared b -4ac/ 2a. The expression under the square root is is known as discriminant of the quadratic equation and it is represented by delta.
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Delta = square of b -- 4ac . Quadratic equation solver is a tool which resolves a problem of complicated quadratic equations, as it solves the given quadratic problem in a faster and easier manner, showing each step. Rules to Solve Linear Programming Step 1. Identify the unknowns in the given LPP. Denote then by x and y. Step 2. Formulate the objective function in terms of x and y. be sure whether it is to be maximized or minimized. Step 3. Translate all the constraints in the form of linear inequations. Step 4. Solve these inequations simultaneously. Mark the common area by shaded region. This is the feasible region . Step 5. Find the coordinates of all the vertices of the feasible region Step 6. Find the value of the objective function at each vertex of the feasible region. Step 7. Find the values of x and y for which the objective function z = ax + by has maximum or minimum value (as the case may be)
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