# Homework Help: Find a and b

1. Nov 3, 2012

### utkarshakash

1. The problem statement, all variables and given/known data
If $x_1,x_2$ are the roots of $x^2-3x+a=0$ and $x_3,x_4$ are the roots of the equation $x^2-12x+b=0$ and $x_1,x_2,x_3,x_4$ are in increasing G.P., find a and b

2. Relevant equations

3. The attempt at a solution
$x_1+x_2=3 \\ x_1x_2=a \\ x_3+x_4=12 \\ x_3x_4=b$

But these are not sufficient to find a and b. Also what is meant by an increasing G.P.?

2. Nov 3, 2012

### SammyS

Staff Emeritus
G.P. = Geometric Progression

http://en.wikipedia.org/wiki/Geometric_progression

3. Nov 3, 2012

### Saitama

It means that the common ratio of the GP is greater than 1.

4. Nov 4, 2012

### utkarshakash

This means that $x_1<x_2<x_3<x_4$
But what is the use of this in my question?

5. Nov 4, 2012

### Mentallic

Ignoring that detail for the moment, simply try answer the question and then you'll see.