SOLUTION: fifteen more than the square of a number is eight times the number

Question 736796: fifteen more than the square of a number is eight times the number
Answer by lenny460(1073) (Show Source): You can put this solution on YOUR website!
Fifteen more than the square of a number is eight times the number.

Let the number be n
The square of the number is n^2
Eight time the number is 8n

Therefore we have:
n^2 + 15 = 8n
n^2 + 15 - 8n = 8n - 8n
n^2 - 8n + 15 = 0
Factor:
(n - 3)(n - 5) = 0

Answer:
n = 3, 5

Lennox Obuong
Algebra Tutor
Nairobi, Kenya
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