+0  
 
0
83
1
avatar

The roots of y^2 - 5y - 11 = 0 are a and b. Find (a + 3)(b + 3).

 Feb 3, 2021
 #1
avatar+118470 
+1

By Vieta's Theorem :

 

The  sum of  the roots,  a +  b =   5

 

The product of the  roots, ab =   -11

 

(a + 3) (b + 3)    =

 

ab  + 3b + 3a  +  9   =

 

ab + 3 ( a + b)  +  9   =

 

-11 + 3(5) +  9   =

 

13

 

cool cool cool

 Feb 3, 2021

24 Online Users

avatar