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f(x) = x²+5x+3 such that r and s are the roots of f(x) find the value of r+s?​

Sagot :

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