Quadratic equations: We have x^2-5x+4=0 and x^2-(a+2)x+1=0

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Alfredo

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We have x^2-5x+4=0 and x^2-(a+2)x+1=0
For wich values of a the two equations have at least
a common solution. Thank you.
 
You've already posted this exact problem on this forum before (linked herehttps://www.freemathhelp.com/forum/threads/98558-Quadratic-equations), as well as an additional problem. However, you neglected to share with us any of the work you've done on these problems. You need to read the rules as laid out in the Read Before Postinghttps://www.freemathhelp.com/forum/threads/54004-Read-Before-Posting thread that's stickied at the top of every subforum. We're not one of those "cheetz" sites that give fully worked solutions. The way this works is that you show us what you've done and exactly where you're stuck, and we provide help. Now, I'll give you the benefit of the doubt and assume that maybe you didn't see my previous response, so I'll quote it for you below:

ksdhart2 said:
Well, since you've shown no work of your own, I'm forced to assume that's because you're stuck at the very beginning and have none to show. So, a good first step is to start with the definitions involved. What does it mean, algebraically, for these two quadratic functions to "have at least one common solution?" What does it mean in terms of the graphs of these functions? How does that help you solve the problem?
Click to expand...
 
I solved the previous problem but i am stuck on this one. I just don't know where to start. I don't want you to solve this but to help me solving this problem.
 
Alfredo said:
I solved the previous problem but i am stuck on this one. I just don't know where to start. I don't want you to solve this but to help me solving this problem.
Click to expand...
The "previous one" at the link is the exact same exercise as you've posted here. If you've completed that one, you should be able to "start" in the exact same way here as you did there.

Either way, for us to provide "help", we need to see where you're stuck. For instance, you started with the standard and well-known step of setting the two expressions equal to each other. Then what?

Please be complete. Thank you! ;)
 
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