Question 250840: Just a random question: "The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?"
Answer by gagvin(2)   (Show Source):
You can put this solution on YOUR website! Let y be the smaller number , x be the larger number
x-y=5 ________(1)
x^2+y^2=233 ______(2)
from (1), x-y=5
x=5+y___(3)
By substituting (3) into (2),
(5+y)^2+y^2 = 233
25+10y+y^2+y^2 = 233
2y^2+10y-208 = 0
(y-8)(y+13) = 0
y = 8 or -13(rejected)
By substituting y=8 into (3),
x = 5 + 8
= 13
The two positive numbers are 8 and 13
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