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 in AlgebraThe simplest way to graph a quadratic equation is to substitute an array of values for x in the equation and solve for y in each case to obtain several (x,y) coordinates. After obtaining the coordinates, they can be plotted on graph paper along the x-y axis to form a parabolic curve that is typical of a quadratic equation.
Full Answer >To solve quadratic equations by factoring, it's a matter of finding the x-intercepts of the graph, or the point at which the graph crosses the x-axis. Quadratics are in the form of ax^2 + bx + c = 0, so you have to simplify the equation into simple binomials.
Full Answer >There are several applications of matrices in multiple branches of science and different mathematical disciplines. Most of them utilize the compact representation of a set of numbers within a matrix.
Full Answer >Because they are so closely related to exponential functions, logarithms have a number of applications in real life, especially when calculating the pH of any chemical substance or measuring the loudness of sounds through the use of decibels. Both of these activities, common in many different industries, require an understanding and application of logarithmic functions.
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