SOLUTION: The sum of two numbers is 8, and the sum of their squares is 34. What is the smaller number?
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Question 438870: The sum of two numbers is 8, and the sum of their squares is 34. What is the smaller number?
Found 2 solutions by rwm, Gogonati:
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
x+y=8
x^2+y^2=34
5 and 3
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Let x the smaller number, then 8-x is the greater. Since their squares is 34, we
get the equation:, we solve this equation:
=> , divide both sides by 2:
, solving this equation by factoring we have:
x=5 and x=3.
Answer:The smaller number is 3.
Check: => => .
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