fix: correct sign errors in putnam_like Set_6/A1 grading_scheme.md#4
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fix: correct sign errors in putnam_like Set_6/A1 grading_scheme.md#4Ashutosh0x wants to merge 1 commit into
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…ixes google-deepmind#2) Fix incorrect signs in Vieta's formula expansion: - Line 24: a^2+2b -> a^2-2b (since (-a)^2 - 2b = a^2 - 2b) - Line 28: updated final answer to match corrected computation
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Fixes #2
Problem
The grading scheme for
putnam_like_set6_a1contains incorrect signs in lines 24 and 28.By Vieta's formulas for$x^3 + ax^2 + bx + c = (x-\alpha)(x-\beta)(x-\gamma)$ :
Computing$-A = \alpha^2+\beta^2+\gamma^2$ :
The file incorrectly had$a^2 + 2b$ instead of $a^2 - 2b$ .
Changes
a^2+2b→a^2-2ba^2+2b→a^2-2b