Consecutive squares

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 of f (x, y)= + x 2 y 2 − − − − − − 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 + 45 2 28 2 − − − − − − − − 2025 + 784 − − − − − − − − − 2809 − − − − = x + y + x 2 y 2 − − − − − − Consecutive squares Brilliant Page 1 of 1 Consecutive squares | Brilliant 6/9/2013 https://brilliant.org/assessment/kt/solvable_component/evaluate-algebraic-expression...

Transcript of Consecutive squares

Page 1: Consecutive squares

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 of f(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...

Page 2: Consecutive squares

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 of f(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...