1. ## Function problem

I have a given function:

$\displaystyle g(x) = \frac {ax^2+bx+c}{x+d}$

I have to find the:

Roots of this function.... am I able to find them at this variable? or I must subtitute a,b,c,d with a number?

2. Originally Posted by Anemori
I have a given function:

$\displaystyle g(x) = \frac {ax^2+bx+c}{x+d}$

I have to find the:

Roots of this function.... am I able to find them at this variable? or I must subtitute a,b,c,d with a number?
Finding the roots means solving $\displaystyle g(x) =0$

$\displaystyle \frac{ax^2+bx+c}{x+d} = 0$

From the domain we know that $\displaystyle x \neq -d$. Given this condition multiply both sides by $\displaystyle x+d$.

$\displaystyle ax^2+bx+c=0$ is standard form for a quadratic equation and hence easy to solve for x in terms of a,b and c

3. Originally Posted by e^(i*pi)
Finding the roots means solving $\displaystyle g(x) =0$

$\displaystyle \frac{ax^2+bx+c}{x+d} = 0$

From the domain we know that $\displaystyle x \neq -d$. Given this condition multiply both sides by $\displaystyle x+d$.

$\displaystyle ax^2+bx+c=0$ is standard form for a quadratic equation and hence easy to solve for x in terms of a,b and c

Thanks! But I can't figure how to solve just a letter. its easy for me if the variable are numbers and i will use quadratic formula for the numerator. right?