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Omni-MATH / Let n be the answer to this problem. The polynomial x^(n)+ax²+bx+c has real coefficients and exactly k real roots. Find the sum of the possible values of k.

Problem

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problem

Let nn be the answer to this problem. The polynomial xn+ax2+bx+cx^{n}+ax^{2}+bx+c has real coefficients and exactly kk real roots. Find the sum of the possible values of kk.
Plain-text mathematical notation (without MathML)
Let n be the answer to this problem. The polynomial x^(n)+ax²+bx+c has real coefficients and exactly k real roots. Find the sum of the possible values of k.
Original LaTeX notation
Let $n$ be the answer to this problem. The polynomial $x^{n}+ax^{2}+bx+c$ has real coefficients and exactly $k$ real roots. Find the sum of the possible values of $k$.

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Source and history

task_id
d3eae72d-cb61-5aa2-b1c5-e1ed0b23792a
task_key
test--d3eae72d-cb61-5aa2-b1c5-e1ed0b23792a
task_revision_id
1
config / split
/ test

Official source

initial import