SOLUTION: 36.) Show a complete solution to the problem. Two positive numbers differ by 11, and their square roots differ by 1. Find the numers.

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Question 165183: 36.) Show a complete solution to the problem.
Two positive numbers differ by 11, and their square roots differ by 1. Find the numers.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x^2=larger number and y^2=smaller number __ x^2=y^2+11

x=y+1

substituting __ (y+1)^2=y^2+11 __ y^2+2y+1=y^2+11 __ 2y=10 __ y=5 __ y^2=25

substituting __ x^2=(25)+11 __ x^2=36