Counting problems could be addressed a series of decisions where every decision involves choosing from more than one options. In several cases, the possible outcome could be even found by multiplying the number of options for the first decision times the available number of options for second decision, third decision and so on. The fundamental … Read more

Argand Plane As we know that (x,y) are a pair of numbers which can be depicted on the XY plane, where x is known as the abscissa, whereas, y is known as the ordinate. Likewise, also the representation of the complex numbers can be done on the plane, known as the Complex Plane or the … Read more

Algebraic solutions of linear inequalities in one variable and their representation on the number line Recalling the definition of linear inequalities, “it is an equation that carries a linear function.” It could further be expressed as the relation between two algebraic expressions that are represented using inequality symbols. It is a concept similar to linear … Read more

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