Answer:
n = sqrt(7) - 5 or n = -5 - sqrt(7)
Step-by-step explanation:
Solve for n:
(n^2 + 10 n + 18)/(n + 5) = 0
Multiply both sides by n + 5:
n^2 + 10 n + 18 = 0
Subtract 18 from both sides:
n^2 + 10 n = -18
Add 25 to both sides:
n^2 + 10 n + 25 = 7
Write the left hand side as a square:
(n + 5)^2 = 7
Take the square root of both sides:
n + 5 = sqrt(7) or n + 5 = -sqrt(7)
Subtract 5 from both sides:
n = sqrt(7) - 5 or n + 5 = -sqrt(7)
Subtract 5 from both sides:
Answer: n = sqrt(7) - 5 or n = -5 - sqrt(7)
