+0  
 
0
27
1
avatar

The graph of y = (5x^2 - 9)/(x^2 + 5x + 2) has vertical asymptotes at x = a and x = b. Find a + b.

 May 2, 2022
 #1
avatar+122385 
+1

Whatever x's  make the denominator = 0  are the asymptotes.....these are also the roots of the polynomial

 

So

 

x^2 + 5x + 2  =  0

 

By Vieta, the sum of the  roots =  -5

 

So

 

a + b =   -5

 

 

cool cool cool

 May 2, 2022

10 Online Users

avatar