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: