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Westkost [7]
3 years ago
15

Porqué el valor del coeficiente de la variable al cuadrado de una función cuadratica no puede ser cero?

Mathematics
1 answer:
Nady [450]3 years ago
4 0

Answer:

Ver respuesta abajo

Step-by-step explanation:

Una ecuación cuadrática es una ecuación que tiene la siguiente forma:

ax² + bx + c = 0

Donde:

a, b y c: coeficientes numéricos que acompañan a la incógnita.

Ahora bien, una función cuadrática es basicamente la misma ecuación cuadrática pero representada graficamente en un plano cartesiano.

Para que una ecuación o función sea cuadrática es absolutamente necesario y obligatorio que su expresión en forma de ecuación tenga el elemento "ax²", pues el "cuadrado" que es el exponente 2 que eleva la incógnita es lo que le da la característica de ecuación o función cuadrática.

Si el coeficiente que acompaña al x², es decir, el valor de a es cero, automaticamente pierde la condición de ser una función o ecuación cuadrática pues dicho término se hace cero su valor. En otras palabras, si x es un número cualquiera y está representado como incógnita, ¿qué sucede cuando multiplicas cualquier número por cero?, en este caso, el resultado es igual a cero:

Ejemplo:

0x² = 0 * x² = 0.

Por tanto, si el término cuadrático se hace cero, ya pierde la condición de cuadraticidad, y su gráfico no sería de forma parabólica, solo quedaría los términos bx + c, pero eso ya pertenece a una ecuación lineal o función afín.

Espero esto te sirva.

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Answer:

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iris [78.8K]

Answer:

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Step-by-step explanation:

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