Answer:
[tex] = ( \frac{ - b}{a} )( \frac{c}{a} )[/tex]
[tex] = ( \frac{ 1}{3} )( \frac{ - 5}{3} )[/tex]
[tex] = \frac{ - 5}{9} [/tex]
Answer:
- [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
P(x) = 3x² - x - 4
with a = 3, b = - 1 and c = - 4
If α and β are the roots of the quadratic then
α + β = - [tex]\frac{b}{a}[/tex] and αβ = [tex]\frac{c}{a}[/tex] , thus
α + β = - [tex]\frac{-1}{3}[/tex] = [tex]\frac{1}{3}[/tex] and αβ = - [tex]\frac{4}{3}[/tex]
Thus
α + β by αβ
= [tex]\frac{\frac{1}{3} }{-\frac{4}{3} }[/tex] = [tex]\frac{1}{3}[/tex] × - [tex]\frac{3}{4}[/tex] = - [tex]\frac{1}{4}[/tex]
