Answer:
Step-by-step explanation:
Given equation:
It has roots r and s.
We know how to find the sum and product of roots.
Sum of roots:
Product of roots:
Use the above two equations to work out the value of r - s:
- [tex]r - s = \sqrt{(r - s)^2} =[/tex]
- [tex]\sqrt{(r+s)^2-4rs} =[/tex]
- [tex]\sqrt{(-7/2)^2-4(-15/2)} =[/tex]
- [tex]\sqrt{169/4} =13/2[/tex]
Correct choice is B
