Explore Mathematics

In the post Solution of a cubic equation Part 1 we found the solution of a cubic equation for a particular condition. Then, in the post W...

In this post we will consider all the positive integer solutions of the equation x + y + z = k. At the end of the post we will generalize th...

Many shapes in a plane are well represented by equations. Circles, parabolas and hyperbolas are some of the shapes which can be represented ...

In the post Recurrence Relation (Part 1) we studied three examples of recurrence relations. In this post we will solve them. The recurrence...

This post deal with the conditions to check whether the roots are real or complex of a cubic equation. A cubic equation always has a real ro...

In mathematics we come across many series which can be expressed in terms of its some or every term. These terms can be distributed in the w...

This post deals with propositional calculus. In propositional calculus we deal with propositions. Propositions are those sentences which are...

This post deals with the conditions to check whether the roots are real or complex. The roots are real when the graph really cuts the x-axis...

We are interested in finding relation between many things. When (a + b) is raised to different powers then relation between previous expansi...

If a set of numbers are such that they follow a specific pattern is called a sequence. If all the terms are added in order then it is called...

A quadratic expression when equated to zero is called a quadratic equation. A quadratic equation looks like this ax 2 + bx + c = 0. In this...

Let us first look at the form of linear equations in two variables. ax + by = c Such equations arise when we have two things changing at the...

Linear Equations are the starting point of two branches of mathematics. One deals with roots and other deals with solutions. Linear equation...

Factors 2a 2 bc has 2,a,b and c as factors. Factors are used to find the L.C.M. and H.C.F. of expressions. L.C.M. and H.C.F. also play an im...

Let us start with two equations ax + b = 0 ax 2 + bx + c = 0 Among the above two equations one is linear and the other is quadratic. The so...

Multiplication and division in algebra rests on exponents and ordinary division. The ordinary division is applied to coefficients and the ex...

There are four operations which can be performed on variables. These are addition, subtraction, multiplication and division. Repeated multip...

I ask you a question and the answer is very simple. But it has a very interesting conclusion in it. The question is "If we take a cubic...

There are many occurrences when we have certain numbers and we have to find relation between them. The relation is usually in form of expres...

When we add the squares of 3 and 4 we get 5 2 or in other words 9+16=25. This property was first found as these numbers. Later with the he...