From (1): \( a + b = -13 \)
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- a(1)^2 + b(1) + c = 1000 \Rightarrow a + b + 1013 = 1000 \Rightarrow a + b = -13 \quad ext{(1)}
- From \( P(2) = 960 \):
- a(2)^2 + b(2) + c = 960 \Rightarrow 4a + 2b + 1013 = 960 \Rightarrow 4a + 2b = -53 \quad ext{(2)}
- Multiply (1) by 2: \( 2a + 2b = -26 \)
- Subtract from (2):
- rac{27}{2} + b = -13 \Rightarrow b = -13 + rac{27}{2} = rac{-26 + 27}{2} = rac{1}{2}
