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\[ (n - x) \times p = 800 \] - AMAZONAWS
\[ (n - x) \times p = 800 \] - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 Here, \( a = 3 \), \( b = -12 \), and \( c = 9 \).
📌 Solution: Assume $ f $ is quadratic: $ f(x) = ax^2 + bx + c $. Substitute into equation: $ a(x + y)^2 + b(x + y) + c = ax^2 + bx + c + ay^2 + by + c + 2xy $. Expand left: $ ax^2 + 2axy + ay^2 + bx + by + c $. Right: $ ax^2 + ay^2 + bx + by + 2c + 2xy $. Equate coefficients: $ 2a = 2 \Rightarrow a = 1 $, and $ 2c = c \Rightarrow c = 0 $. Thus, $ f(x) = x^2 + bx $. Check: $ (x + y)^2 + b(x + y) = x^2 + y^2 + 2xy + bx + by $, which matches. Any $ b $ works, so infinitely many solutions. \boxed{\infty}<think1. A train travels at a constant speed of 90 miles per hour. If it travels for 2.5 hours, how far does the train travel?
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![\[ (n - x) \times p = 800 \]](https://soloferat.biz.id/images/-n---x-times-p--800-.jpg)
