SOLUTION: PLEASE SHOW ME HOW DID YOU GET THE ANSWER TO THIS - 1) The sum of two numbers is 18. And the sum of their squares is 170. Find the numbers

Question 565388: PLEASE SHOW ME HOW DID YOU GET THE ANSWER TO THIS - 1) The sum of two numbers is 18. And the sum of their squares is 170. Find the numbers
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call numbers and
given:
(1)
(2)
-------------------
(1)
Substitute this into (2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
complete the square
(2)
(2)
(2)
Take the square root of both sides
(2)
(2)
and, since
(1)
(1)
(1)
The numbers are 11 and 7
check:
(2)
(2)
(2)
(2)
OK
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