Question

Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.

Answer 1

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