SOLUTION: 1. The sum of two numbers is seven. The sum of the squares of the two numbers is twenty nine. Find the two numbers.
2. The product of two consecutive even positive integers is
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Question 159560: 1. The sum of two numbers is seven. The sum of the squares of the two numbers is twenty nine. Find the two numbers.
2. The product of two consecutive even positive integers is one hundred twenty. Find the two integers.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started
# 1
"The sum of two numbers is seven" translates to
"The sum of the squares of the two numbers is twenty nine" translates to
Start with the first equation
Subtract "x" from both sides
Move onto the second equation
Plug in
FOIL
Subtract 29 from both sides
Combine like terms.
Factor out the GCF 2
Factor
or Set each value equal to zero
or Solve for "x" in each case.
---------------------------
Go back to the first equation
Plug in
Subtract
So one pair of numbers is 5 and 2
----------------
Go back to the first equation
Plug in
Subtract
So another pair of numbers is 2 and 5
So this means that the two numbers are 5 and 2 (or 2 and 5; the order does not matter)
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