Answer:
c = - [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The product of the zeros = [tex]\frac{c}{a}[/tex] = [tex]\frac{1}{2}[/tex]
Given
2x² - 3x - 5c
with a = 2 and c = - 5c , then
[tex]\frac{-5c}{2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
- 10c = 2 ( divide both sides by - 10 )
c = [tex]\frac{2}{-10}[/tex] = - [tex]\frac{1}{5}[/tex]
