This seems to be a description of completing the square to solve anyone or two variable quadratic equation. Nobody cares, because this is routine knowledge, established for a long time. The only way this would impress anyone is if you could use it in a job as an employee where most people near in the field have typically forgotten their knowledge.Mrq said:I derived a relation between the product of two linear polynomials and the square of their average. It can be used to solve any quadratic equation. Will this help me getting into a top university?
A quadratic equation is a mathematical expression that contains a variable raised to the second power (or squared) and is set equal to a constant. It can be written in the form of ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
To solve a quadratic equation, you can use a variety of methods such as factoring, completing the square, or using the quadratic formula. These methods involve manipulating the equation to isolate the variable and find its value.
A linear polynomial relation is a mathematical expression that involves only one variable and its powers raised to the first degree (or simply the variable itself). It can be written in the form of ax + b = 0, where a and b are constants and x is the variable.
Yes, a linear polynomial relation and a quadratic equation can have a solution in common. This is because a quadratic equation can also be written in the form of a linear polynomial relation by setting the coefficient of the squared term to 0. Therefore, the solution to the quadratic equation will also satisfy the linear polynomial relation.
To graph a quadratic equation with a linear polynomial relation, you can first plot the x- and y-intercepts (where the equation crosses the x- and y-axes) using the solutions obtained from solving the equation. Then, you can plot additional points by choosing values for x and solving for y, or by using the vertex formula to find the coordinates of the vertex. Finally, connect the points to create a parabola, which represents the graph of the quadratic equation.