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The polynomial p(x)=x2+ax+b has distinct roots 2a and 2b. Find a+b.

 Jul 4, 2022
 #1
avatar+2668 
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By Vieta's, we have:

 

a=2a+2b                   (i)

b=4ab                          (ii)

 

From the second equation, we have a=14

 

Subbing this into (i) gives us b=38

 

Thus, a+b=1438=18

 Jul 4, 2022
 #2
avatar+1166 
+11

omg! nicely done! thx a lot! laugh

nerdiest  Jul 4, 2022
 #3
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No worries!!! smiley

BuilderBoi  Jul 4, 2022

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