# Thread: look for the value that satisfies the equation

1. ## look for the value that satisfies the equation

please explain how can I answer this one I know the answer should be a.) -4 & b.) -1.
could you explain how will I come up with that answer? Thank you

2. ## Re: look for the value that satisfies the equation

Hint $x^3+x^2+ax+1=(x-x_1)(x^2+2x-2)$ or $\frac{x^3+x^2+ax+1}{x^2+2x-2}=(x-x_1)$

3. ## Re: look for the value that satisfies the equation

That's very clever! I would have just solved $x^2+ 2x- 2$ to see that the only x that satisfy that equation are $-1+\sqrt{3}$ and $-1- \sqrt{3}$, then put those into P to see how I could cancel that irrational " $\sqrt{3}$" part. But Ruun's hint is much simpler.

4. ## Re: look for the value that satisfies the equation

I'm trying to solve it to but I don't get the equation. should I substitute the given?

5. ## Re: look for the value that satisfies the equation

You have been told two different ways to solve this problem. Please show what you have tried and where you are stuck.