Respuesta :

Answer:

D is the correct answer

Step-by-step explanation:

mhanifa

Answer:

  • B. 13/2

Step-by-step explanation:

Given equation:

  • 2x² + 7x - 15 = 0

It has roots r and s.

We know how to find the sum and product of roots.

Sum of roots:

  • r + s = -7/2

Product of roots:

  • rs = -15/2

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