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Sunday, August 24, 2014

Solution of a cubic equation (Part 2)

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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...
Saturday, August 23, 2014

How many Solutions of x + y + z = k

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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...
Wednesday, August 20, 2014

Preliminaries in plane geometry (Part 2)

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In this post we will discuss about equations of a line in different form. Every equation is related to other equation and can be derived fro...
Tuesday, August 19, 2014

Preliminaries in plane geometry (Part 1)

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Many shapes in a plane are well represented by equations. Circles, parabolas and hyperbolas are some of the shapes which can be represented ...
Monday, August 18, 2014

Recurrence relation (Part 2) : Linear Equations

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In the post Recurrence Relation (Part 1) we studied three examples of recurrence relations. In this post we will solve them. The recurrence...
Sunday, August 17, 2014

Whether real or complex (Cubic Equation)

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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...
Wednesday, August 13, 2014

Recurrence Relation (Part 1)

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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...