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Answer:
r+s= -5
Step-by-step explanation:
Given: f(x) = x²+5x+3
Required: Find the sum of the roots, r+s= ?
Solution:
The sum of the roots can be find using a shortcut:
sum of the roots= [tex]\frac{- b}{a}[/tex]
Using this, let a= 1 and b=5 based from f(x) and substitute it to find the sum of the roots
sum of the roots= [tex]\frac{- (5)}{(1)}[/tex]
sum of the roots= -5
Thus, r+s= -5