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.
Know MoreAn 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 AlgebraAlgebra riddles can be either word problems that need to be translated into a set of algebraic equations or arithmetic problems with letters where each letter represents a digit, and the objective is to replace each letter with an appropriate digit.
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 >To solve one-step equations, perform the correct mathematical operation to get the variable by itself, and perform the same operation on the other side of the equation. Solve the equation when the variable is by itself.
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.
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