Mathematics is the language of the universe. Although many people would say that this very subject was what many must have struggled with in their school life, it is still one of the most important subjects in the entire world.
The subject of mathematics is not only important in itself, but it also incorporates other subjects, like physics, chemistry, computer science and some more such subjects. Without mathematics, it is difficult to perform calculations that are required for both day to day lifestyle and also for more complex calculations that could be utilised for the sake of research and things like that.
Algebra is a branch of mathematics that is used in vast areas, mostly in case of research purposes. That being said, algebra in itself is very interesting and when you learn in properly, you will see that it is quite easy and interesting to do, plus you can also score a good amount of marks from the algebraic section of your question paper. So, if you happen to have a math test and you are worried about how to score marks in that, be sure to learn the algebra chapters from your syllabus carefully.
The variable X
All of us who have learned maths will know about 4x ^ 2 – 5x – 12 = 0 and the variable X that is used in the equations concerning algebra. The variable X is the one whose values are looked for in algebra. The value of X is equally an integer, but in some cases, it can also be a fraction. However, sometimes the value of x can be an irrational number as well, like if the value of x in a certain equation is the cube root of the number 2, then the answer of x could quite possibly be an irrational number.
In our article, we will be learning about an algebraic equation that might be a bit difficult for some people to solve. Let’s find out:
Breaking Down the Equation x2+(y-3√2x)2=1
Although this equation may appear to be pretty difficult and maybe even cryptic to an extent, this is a very valuable equation. Let us meticulously break up the terms first for easier understanding:
Our first step towards solving this equation is by comprehending what the equation involves and by meticulously dissection it into parts for better understanding. let take x*x*x is equal to 2
X^2 is a term that is there in this equation, and this signals that x is the square of the x coordinate. This is a fundamental algebraic concept.
The next thing to notice is y – 3√2x)^2: This portion could appear to be slightly complex, as it is seen to be incorporating two coordinates, both x and y. It also introduces the concept of square root. Upon closer consideration, we can see that this equation calls for the summation of squares of the difference between y and three times the square root of x.
If we visualise this equation, we shall see that it represents a type of circle. When we plot these points, we will see that it forms a perfect Circle.
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