Vamos a practicar con ecuaciones...
Mira este objeto... es interactivo, puedes agregar las expresiones de una ecuación y resolverla usando sus gráficas...
¿Cómo puedo usar este applet?
Es importante que establezcas un método para proceder. Con un método claro de estudio, podrás hacer avances en tu estudio.
Haz lo siguiente:
1) Ingresa en los recuadros que ves arriba a la izquierda las expresiones que componen la ecuación.
2) Al hacer eso, aparecerán las gráficas de las expresiones involucradas.
3) Automáticamente, el applet te muestra las coordenadas horizontales de los puntos de corte: esas son nuestras soluciones.
El asunto se vuelve más interesante, si primero, antes de usar esta aplicación pruebas resolver por tu cuenta usando la graficadora de tu elección, así luego podrás verificar que los resultados son los que obtubiste...
Te recomiendo comenzar con expresiones sencillas de primer o segundo grado...
Prueba con estas ecuaciones, por ejemplo...
![](data:image/png;base64,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)