Question

Given is the polynomial f of xx^2+ px+q, where p,q are arbitrary real numbers. The zeros of a function d of x are defined as the values x0 for which f of x0 is 0. For which values of fx does it have a zero?

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Answer to a math question Given is the polynomial f of xx^2+ px+q, where p,q are arbitrary real numbers. The zeros of a function d of x are defined as the values x0 for which f of x0 is 0. For which values of fx does it have a zero?

Expert avatar
Corbin
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107 Answers
1. Gegeben ist die quadratische Funktion f(x) = x^2 + px + q.
2. Die Nullstellen einer Funktion finden wir, indem wir f(x) = 0 setzen: x^2 + px + q = 0.
3. Die quadratische Gleichung hat reale Lösungen, wenn die Diskriminante \Delta = p^2 - 4q \geq 0 ist.
4. Daher existieren reelle Nullstellen der Funktion f(x) für die Werte von x, wenn p^2 - 4q \geq 0 gilt.

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