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Consecutive squares
The document defines a real-valued function f(x,y) = x + y + x^2y^2 - sqrt(x^2y^2). It asks for the value of f(45,28), which is calculated by substituting x=45 and y=28 into the function. This gives a value of 53+452-sqrt(2025+784), which simplifies to sqrt(2809), or 53.
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Consecutive squares
- 1. 22 Return toHome 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 toHome 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...