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Category: Equation

Solution of MMM#38

November 2nd, 2009, No Comments

MMM #38: Prove or disprove: The product of any four consecutive integers is always one less than a perfect square. Don’t assume the integers are all positive. Any four consecutive integers can be written as . The product of these numbers is Therefore the statement always true.

Equations Involving Radicals

June 11th, 2009, No Comments

In this post we will discuss equations of the type . If is odd then the solution to the equations is . But if is even then the equation has no solution when . If the solution is given by . Here some example Example 1 Find the solution of

Equation Involving Fractional Expression

June 11th, 2009, No Comments

The idea to solve equations involving fractional expression is to transform the equation into equation without fraction. To get a better understanding of this method, consider the following equation To  get rid of the fraction we need to multiply the equation with the common denominators (the lowest one is preferred). In this equation the denominators [...]

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