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One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
x2+18x+813x26x+98x232x+3225x230x9x214x+196

 May 17, 2022
 #1
avatar+2668 
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For a quadratic to have distinct roots, it's must be the form: a2x2±2abx+b2

 

For example, applying this to the fifth one yields: 12x22×1×14x+142, which equals: x228x+196, this, isn't true, so it isn't 5. 

 

Can you do the rest?

 May 17, 2022
 #2
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+2

Thank you for the help! It helps me learn a lot better when people don't give direct answers, but hints and help. Thank you!

Guest May 17, 2022
 #3
avatar+118703 
+1

That is really good to here.  Thanks  laugh

And thanks for your teaching style answer Builderboi.  laugh

 

If you become a member you will get known (positively I think) and then you will get a consistently good response (like this one)  from answerers here.  wink

Melody  May 17, 2022
 #4
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+2

Okay, I will look into making an account :)

Guest May 17, 2022
 #5
avatar+2668 
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Guest: I'm so glad I could help!

 

Melody: Thank you!

 

Also, I just realized my original answer has a typo, it should be "For a quadratic to have repeated roots", not "For a quadratic to have distinct roots"

BuilderBoi  May 17, 2022
edited by BuilderBoi  May 17, 2022

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