An algebra problem by Sathya Narayanan

Algebra Level 3

If α \alpha and β \beta are roots to the equation, 3 2 x + 1 − 3 x + 3 − 3 x + 3 2 = 0 3^{2x+1} - 3^{x+3} - 3^x + 3^2 = 0 , find α + β \alpha + \beta .


The answer is 1.

Sathya Narayanan by Sathya Narayanan , 29, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Sathya Narayanan
Feb 29, 2016

Let 3^x=k

The equation translates to

3k^2-28k+9=0

k=9,1/3

x=2,-1

alpha+beta=1

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...