The square root of x is the number r in a way that r² = x. When represented in form or specifically, , the square root of x might also be known as the surd or radical. Therefore, the square root is the nth root, having the value, n = 2. It’s the point of … Read more
Graphical solution of system of linear inequalities in two variables A system of linear inequalities in two variables is known to be the one that consists of at least two inequalities with the same variables. The solution for such inequality is known to be the ordered pair which could be the solution to all the … Read more
The Solution of quadratic equations in the complex number system Relating to quadratic equations, the complex roots and the imaginary numbers exist when the value under radical portion of the quadratic formula is -ve. When this takes place, the equation contains zero or no roots in the real numbers’ set. The roots are associated with … Read more
It is quite simple, that when there are two variables in a linear inequality, it is addressed as linear inequality in two variables. Graphical Solution of Linear Inequalities in Two-Variables The solution of inequalities could be represented as the graph of inequalities. We are already known to the fact that a line tends to divide … Read more
At the very beginning, getting to know about linear inequalities is something important. What are linear inequalities? As the name suggests, an inequality could be described as the relationship between two different quantities that aren’t equal. An inequality is known to be an open sentence which includes signs like$,\le ,\ge $. Inequalities could be posed … Read more
As per the statement of Fundamental Theorem of Algebra, any polynomial which is non-constant accompanied by complex coefficients consist of not less than 1 complex root. The theorem also means that any polynomial having complex coefficients belonging to n degree contains n complex roots, which are calculated with multiplicity. The field F, having the property … Read more
While dealing with functions and relations, it is quite certain to come across the rules regarding Greatest Integer Function. What is Greatest Integer Function? For any real function, the greatest integer function is known to be represented by. This function tends to round off the number down to an integer that is significantly less/smaller than … Read more
When quadratic equations come in action, you’ll be challenged with either entity or non-entity; the one whose name is written in the form – √-1, and it’s pronounced as the “square root of -1.” So, we’ll be discussing in the context of the different algebraic complex numbers’ properties. 1. When a + ib = 0 … Read more
Need for complex numbers, especially √1, to be motivated by inability to solve some of the quadratic equations Complex Numbers The complex number is defined as the combination of the imaginary number and a real number. Let’s say, a + bi So here, a = real part, whereas b = imaginary part, and lastly, i … Read more
Probability: probability of ‘not’, ‘and’ and ‘or’ events General addition rule applies to any additional events. You can use it for both disjoint events and non-disjoint events where two events are mutually exclusive. This means that if 1 event is true, the other must be false. Therefore, P(A and B), i.e. the probability of both … Read more