+0  
 
0
94
1
avatar

Let a and b be the roots of 2x^2+17x+11=0. Find ab+a+b

 Feb 23, 2021
 #1
avatar+956 
0

By Vieta's Formulas, the sum of roots is \(-\frac{b}{a} = -\frac{17}{2}\) and the product of the roots is \(\frac{c}{a} = \frac{11}{2}\).

 

If the roots are a and b, then:

 

\(ab + (a + b) = \text{product of roots} + \text{sum of roots} = -\frac{17}{2} + \frac{11}{2} = \boxed{-3}\)

 Feb 23, 2021

22 Online Users

avatar
avatar