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aleksandrvk [35]
3 years ago
14

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

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

-5 -√8  or ≈ -7.83

Step-by-step explanation:

<u>Solving the quadratic equation, to find its roots:</u>

  • 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

<u>The smallest root is:</u>

  • x= -5 - √8 ≈ -7.83
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