SOLUTION: Please help me answer this confusing problem: The number of doors in Alex's house, when doubled is a perfect square. When the number of doors is decreased by two, the result is te

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Please help me answer this confusing problem: The number of doors in Alex's house, when doubled is a perfect square. When the number of doors is decreased by two, the result is te      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 819682: Please help me answer this confusing problem:
The number of doors in Alex's house, when doubled is a perfect square. When the number of doors is decreased by two, the result is ten more than the square root of the perfect square. How many doors are in Alex's house.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let number of doors be x
2x is a perfect square
doors increased by 2
meaning x+2
%28x-2%29+=+sqrt%282x%29%2B10

x-2-10=+sqrt%282x%29
x-12=sqrt%282x%29
square both sides
%28x-12%29%5E2=+2x
x%5E2-24x%2B144=2x
x%5E2-26x%2B144=0
x%5E2-18x-8x%2B144=0
x(x-18)-8(x-18)=0
(x-18)(x-8)=0
x=18 OR 8
8 not possible
18 doors