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
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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...