Quadratic equations govern many real world situations such as throwing a ball, calculating certain prices, construction, certain motions and electronics. They are most often used to describe motion of some sort.
Continue ReadingAn equation is quadratic if it is of "order 2;" that is, an equation is quadratic if the highest power in the equation is 2. Therefore, x^2 and any variations of it are quadratic equations. For example, if a ball is thrown straight from 3 meters above the ground at a velocity of 14 meters per second, this allows the construction of an equation. The equation is quadratic because half of the gravitational velocity, 5t^2, is subtracted from the other constants. By setting the equation equal to zero, two solutions can be acquired. The interesting part is that these solutions show when height is equal to zero. In other words, solving this yields what time the ball was on the ground after being thrown. This information can then be used to acquire even more information, such as how long the ball was in the air, when it reached its highest point and where the ball is at any time after being thrown. The same method is employed in other situations where quadratics are involved.
Learn more about AlgebraIt is important to spend time learning the different types of differential equations and how to distinguish between them. Once a person learns how to classify differential equations, she needs only to learn and apply the different methods for efficiently solving each type of equation.
Full Answer >A system of equations is a group of multiple equations solved simultaneously to reach the same or multiple solutions. Many systems of equations can be graphed on a coordinate plane for easy visualization and solving. However, not all systems have solutions, and some have many solutions.
Full Answer >The key to solving any word problem is identifying what is unknown, what is known, and what equations must be used. Once these components are identified, it is simply a matter of filling in the blanks. Word problems involving polynomials are no different than any other mathematical word problem in this regard.
Full Answer >Basic problems in Algebra I typically teach students to solve one-step equations to find variables with addition, subtraction, multiplication and division. From there, students learn to solve two-step equations.
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