SOLUTION: The sum of two numbers is six. The sum of the squares of the two numbers is twenty. Find the two numbers.

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Question 169364: The sum of two numbers is six. The sum of the squares of the two numbers is twenty. Find the two numbers.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the 2 numbers a and b
:
a+b=6...eq 1
a%5E2%2Bb%5E2=20eq 2
take value of a which is 6-b from eq 1 and plug it into eq 2
:
%286-b%29%5E2%2Bb%5E2=20
:
36-12b%2Bb%5E2%2Bb%5E2=20
:
2b%5E2-12b%2B16=0%29
:
b%5E2-6b%2B8=0
:
%28b-4%29%28b-2%29=0
:
(b=2 and b=4)
(a=4 and a=2)