Can You Survive without Algebra?
Posted March 9th, 2010 byCategories: Uncategorized
It is safe to say that algebra is the core of mathematics. An in depth knowledge of algebra and its basics is required before you could work on other mathematical problems. If someone asks you to get the product of 223 and 112, you can easily do it manually or with a calculating machine. However, in a case where you need to work around the exponential of 223 and logarithm of 112, you will surely need an algebraic software application. Graphing a circle will be easy for this given formula X2 + Y2 = 4 but when it comes for an inequality like (X-2)2 + (Y-4)2 > 20 then it will be quite harder to plot the graph. In this situation algebra software package can help you immensely because once you enter the inequality in the program, the graph will get drawn automatically within a fraction of second. These kinds of packages can easily resolve any kind of algebraic, arithmetic and radical expressions of any kind of difficulty.
Looking for Domain and Range of a Function
Although, finding the domain and range of a function such as Y = X2 can be easily found by considering the number range on the X-Y plane, defining the domain and range of a log(tan 2x + sin 3x) = cosine(-4)(2x) will be excessively difficult. But thanks to algebra calculating systems, you can now solve these complicated problems in very little time while being able to comprehend each and every step that it takes you to successfully solve the mathematical question.
Coordinate Geometry
Now you can easily find the focus and directrix and whether parabola opens up or down by just feeding the equation into algebra software package. Addition, subtraction and multiplication of polynomials are quite uninteresting, since they involve lots of terms to manipulate. But algebra calculator will do this job in much less time and with 100% accuracy. Solving determinants and matrices of 3×3 or 4×4 order can become very hard since it involves lots of calculation; getting inverse of matrices even more so. However using algebra software programs will make this task much simpler.
So now you don’t need to start worrying when you see indices, rational numbers or exponential equations. Parabolas, hyperbolas or ellipses can all be easily graphed within computer algebra systems.











