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22 Return to Home
Sorry, you've used all 3 tries. You tried 22, 557 and 55.
Solution
is a real valued function. What is the value off(x, y) = +x2 y2−  − − − − − 
√
f(45, 28)?
Substituting into the equation, we get .
Note: A common mistake is to say that , which is not true.
x = 45, y = 28 f(45, 28) = = = = 53+452
282−  − − − − − − − 
√ 2025 + 784
−  − − − − − − − − 
√ 2809
−  − − − 
√
= x + y+x2 y2−  − − − − − 
√
Consecutive squares
Brilliant
Page 1 of 1Consecutive squares | Brilliant
6/9/2013https://brilliant.org/assessment/kt/solvable_component/evaluate-algebraic-expression...
22 Return to Home
Sorry, you've used all 3 tries. You tried 22, 557 and 55.
Solution
is a real valued function. What is the value off(x, y) = +x2 y2−  − − − − − 
√
f(45, 28)?
Substituting into the equation, we get .
Note: A common mistake is to say that , which is not true.
x = 45, y = 28 f(45, 28) = = = = 53+452
282−  − − − − − − − 
√ 2025 + 784
−  − − − − − − − − 
√ 2809
−  − − − 
√
= x + y+x2 y2−  − − − − − 
√
Consecutive squares
Brilliant
Page 1 of 1Consecutive squares | Brilliant
6/9/2013https://brilliant.org/assessment/kt/solvable_component/evaluate-algebraic-expression...

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Consecutive squares

  • 1. 22 Return to Home Sorry, you've used all 3 tries. You tried 22, 557 and 55. Solution is a real valued function. What is the value off(x, y) = +x2 y2−  − − − − −  √ f(45, 28)? Substituting into the equation, we get . Note: A common mistake is to say that , which is not true. x = 45, y = 28 f(45, 28) = = = = 53+452 282−  − − − − − − −  √ 2025 + 784 −  − − − − − − − −  √ 2809 −  − − −  √ = x + y+x2 y2−  − − − − −  √ Consecutive squares Brilliant Page 1 of 1Consecutive squares | Brilliant 6/9/2013https://brilliant.org/assessment/kt/solvable_component/evaluate-algebraic-expression...
  • 2. 22 Return to Home Sorry, you've used all 3 tries. You tried 22, 557 and 55. Solution is a real valued function. What is the value off(x, y) = +x2 y2−  − − − − −  √ f(45, 28)? Substituting into the equation, we get . Note: A common mistake is to say that , which is not true. x = 45, y = 28 f(45, 28) = = = = 53+452 282−  − − − − − − −  √ 2025 + 784 −  − − − − − − − −  √ 2809 −  − − −  √ = x + y+x2 y2−  − − − − −  √ Consecutive squares Brilliant Page 1 of 1Consecutive squares | Brilliant 6/9/2013https://brilliant.org/assessment/kt/solvable_component/evaluate-algebraic-expression...