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Omni-MATH / The function f(x) is of the form ax²+bx+c for some integers a,b, and c. Given that …

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problem

The function f(x)f(x) is of the form ax2+bx+ca x^{2}+b x+c for some integers a,ba, b, and cc. Given that {f(177883),f(348710),f(796921),f(858522)}={1324754875645,1782225466694,1984194627862,4388794883485}\{f(177883), f(348710), f(796921), f(858522)\} = \{1324754875645,1782225466694,1984194627862,4388794883485\} compute aa.
Plain-text mathematical notation (without MathML)
The function f(x) is of the form ax²+bx+c for some integers a,b, and c. Given that {f(177883),f(348710),f(796921),f(858522)}={1324754875645,1782225466694,1984194627862,4388794883485} compute a.
Original LaTeX notation
The function $f(x)$ is of the form $a x^{2}+b x+c$ for some integers $a, b$, and $c$. Given that $\{f(177883), f(348710), f(796921), f(858522)\} = \{1324754875645,1782225466694,1984194627862,4388794883485\}$ compute $a$.

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