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Soluzione - Risoluzione di equazioni quadratiche tramite fattorizzazione

Forma exacta:

x_{1} = 0, x_{2} = 4

x_1=0, x_2=4

Forma decimal:

x_{1} = 0, x_{2} = 4

x_1=0, x_2=4

Ecuación en forma factorizada:

2 x (x - 4) = 0

2x(x-4)=0

Guarda i passaggi

Spiegazione passo passo

1. Factoriza el mayor factor común

$2 x^{2} - 8 x = 0$

Fattorizzare da entrambi i termini:

$2 x (x - 4)$

Los factores de $2 x^{2} - 8 x = 0$ son $2 x$ y $(x - 4)$ .

2. Encuentra las raíces de la ecuación cuadrática

Si
$2 x \cdot (x - 4) = 0$
Entonces
$2 x = 0$
y/o
$(x - 4) = 0$

Resuelva cada factor para $x$ :

Fattore 1:

$2 x = 0$

Dividi entrambi i lati per il coefficiente:

$x = 0$

Fattore 2:

2 passaggi aggiuntivi

$(x - 4) = 0$

Aggiungi a entrambi i lati:

$(x - 4) + 4 = 0 + 4$

Semplifica il calcolo aritmetico:

$x = 0 + 4$

Semplifica il calcolo aritmetico:

$x = 4$

3. Graficar

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Perché imparare questo

In their most basic function, quadratic equations define shapes like circles, ellipses and parabolas. These shapes can, in turn, be used to predict the curve of an object in motion, such as a ball kicked by a football player or a shot fired out of a cannon.
When it comes to an object’s movement through space, what better place to start than space itself, with the revolution of planets around the sun in our solar system? The quadratic equation was used to establish that planets’ orbits are elliptical, not circular. Determining the path and speed an object travels through space is possible even after it has come to a stop: the quadratic equation can calculate how fast a vehicle was moving when it crashed. With information like this, the automotive industry can design brakes to prevent collisions in the future. Many industries use the quadratic equation to predict and thus improve their products’ lifespan and safety.

Termini e argomenti

Resolución de ecuaciones cuadráticas por factorización