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

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: fifteen more than the square of a number is eight times the number      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 736796: fifteen more than the square of a number is eight times the number
Answer by lenny460(1073) About Me  (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