Answer:
Values for alpha and beta are 0.5 and 3.
Explanation:
2x² - 7x - 3 = 0
2x² - 7x - 3 = (2x - 1 )(x - 3)
∴ (2x - 1 )(x - 3) = 0
The only way to get zero by multiplying two values together, is if one of those values is qual to zero. Therefore, either (2x - 1 )=0, or (x - 3)=0.
If (2x - 1 )=0
∴2x=1
∴x=0.5
If (x - 3)=0
∴x=3
We have two values for x. These values represent alpha and beta.
(BTW - I'm not sure from the phrasing of your question whether or not you just want to find the values or whether you want to find the sum of the values (I don't know if you used '+' to mean 'and' or 'plus'), but if you do want to find the sum, it's of course just 0.5+3= 3.5.)