Answer:
x ≈ - 10.65, x ≈ - 5.35
Step-by-step explanation:
Given
(x + 8)² - 7 = 0 ( add 7 to both sides )
(x + 8)² = 7 ( take the square root of both sides )
x + 8 = ±
( subtract 8 from both sides )
x = - 8 ±
, thus
x = - 8 -
≈ - 10.65
x = - 8 +
≈ - 5.35
Rationalize the numerator:

This is continuous at
, so we can evaluate the limit directly by substitution:

Are there any answer choices maybe??