a^2 + b^2 = 15^2 - 2 \cdot 50
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- Let the two quantities be \( a \) and \( b \). We are given:
- \( ab = 50 \)
- We want to find \( a^2 + b^2 \). Use the identity:
- = 225 - 100
- Therefore, the sum of the squares of the two quantities is \(oxed{125}\).
- A linguist designing a language pattern algorithm observes that for two linguistic parameters \( x \) and \( y \), their difference is 4 and their sum of squares is 58. Find the value of \( x^2 - y^2 \).
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