Ecuaciones de Segundo Grado Resolución Simple

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$# ECUACIONES ECUACIONES DE SEGUNDO GRADO COMPLETAS ax² + bx + c = 0 $x=\frac{-b\pm\sqrt{b^2-4\cdot a \cdot c}}{2 \cdot a}$ Ejemplo. $x$

Ecuaciones: De Primer y Segundo Grado

Las ecuaciones de primer grado son las más sencillas y siempre tienen una única solución. El truco está en seguir siempre el mismo orden: primero quitas denominadores, luego paréntesis, después separas letras y números, y finalmente despejas la x.

Por ejemplo, con $2x+1$ /3 + 5 = 2x, multiplicas todo por 3 para quitar el denominador y te queda 2x + 16 = 6x. Luego agrupas: 2x - 6x = -16, así que -4x = -16 y por tanto x = 4.

Las ecuaciones de segundo grado tienen la forma ax² + bx + c = 0. Pueden ser completas (con todos los términos) o incompletas (faltando b o c). Las completas se resuelven con la famosa fórmula: x = $-b ± √(b²-4ac)$ / 2a.

¡Dato curioso! Las ecuaciones de segundo grado pueden tener dos soluciones, una o ninguna, dependiendo de lo que salga dentro de la raíz cuadrada.

Las incompletas son más fáciles. Si falta b $como 2x² - 8 = 0$ , despejas directamente: x² = 4, así que x = ±2. Si falta c $como 4x² + 2x = 0$ , sacas factor común x y te quedan dos soluciones: x = 0 y x = -1/2.

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