Respuesta :

Answer:

-5 -√8  or ≈ -7.83

Step-by-step explanation:

Solving the quadratic equation, to find its roots:

  • x^2 + 10x + 25 = 8           The left side is perfect square
  • (x+5)^2=8                         Getting square root of both sides
  • x+5 = ± √8                       ⇒ There are 2 roots
  • x = - 5 ± √8

The smallest root is:

  • x= -5 - √8 ≈ -7.83