+0  
 
+2
550
3
avatar+164 

The roots of the equation 2x^2-mx+n sum to 6 and multiply to 10. What is the value of M+n?

 Mar 26, 2018
 #1
avatar+111329 
+1

2x^2 - mx + n

 

The sum of the roots is given by

 

m / 2  = 6   multiply both sides by 2

 

m  = 12

 

The product of the roots  is given by

 

n/2  = 10      multiply both sides by 2

 

n  =  20

 

 

So....

 

m + n  =  12  + 20   = 32

 

EDIT TO CORRECT AN ERROR.....

 

 

 

cool cool cool

 Mar 26, 2018
edited by CPhill  Mar 27, 2018
edited by CPhill  Mar 27, 2018
 #2
avatar+164 
0

That isn't right, sorry. 5 and 1 dont multiply to 10

 Mar 26, 2018
 #3
avatar+164 
0

Actually, I think that it is n/2 = 20?

 

Thanks, Cphill for the help though, I couldn't figure M at first.

 Mar 26, 2018

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