- #1

ranju

- 223

- 3

## Homework Statement

Given (135)x + (144)x = (323)x. What is the value of base x?

Now we can find out the value of x by simply converting to decimal both the sides , form a quadratic equation and solve but once in a random lecture our prof. taught us a kind of short method to solve this in less time followed by " here with base is unknown 5+4 is giving 3 , now 5+4 is 9 so we'll write digits from 0-8 and then further repeat it by adding the same with carry until we get 3.. See I am not sure that what I stated is correct.. I maybe skipping somet data.. So , I just wanted to know about this short method

what actually this method is like?? [/B]

## Homework Equations

## The Attempt at a Solution

**In one method we simply convert in quadratic as : (1*x**

^{2}+3*x+5*x0) + (1*x^{2}+4*x+4*x0) = 3*x^{2}+2*x+3*x0**and x will come out to be 3**[/B]