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Anton, A. (2020, junio 24). Ecuaciones cuadráticas (qué son, tipos y cómo resolverlas con ejemplos). Estudianteo. https://estudianteo.com/matematicas/ecuaciones-cuadraticas/

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That last term in a perfect square trinomial is the one that belongs to the half square that belongs to the coefficient of the same middle term. Then we have two perfect squares in which the first two terms would be x2 + bx is:

X2 + bx + b22.

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This method involves finding a third term of a perfect square trinomial. This is done when the two in front are known. The trinomials are as follows: x2 + bx + ?

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Esta es la propiedad de la raíz cuadrada que dice que en todo los casos para un número real K, la ecuación será x2 = k es equivalente

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To apply this method in solving quadratic equations, it is important to know how to use its property

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For example: x2 + 2x - 8 = 0 a = 1, b 0 , c = -8

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In this case, in order to apply this method, the quadratic equation must be totally equal to zero (0). Then you can continue expressing the other side of the same equation. This is the one that is not zero, but in this case present it as one of the products of the factors.

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This is a type of quadratic equation that occurs with a leading coefficient of 1. As we see that the linear coefficient is an even number, it must be represented as follows: x2 + 2mx + n = 0. In this case its root is the following x1,2 = -m m2 -n

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These types of quadratic equations are those that appear with a coefficient known as the coefficient of the first degree. It also contains an even number 2m, the entire equation must be represented as follows: ax2 + 2mx + n = 0

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Those that do not have an independent term are represented as follows: ax2 + bx = x(ax + b) = 0. In this we see that the root is: x = 0 or ax + b = 0. This means that it is x1 = 0; x2 = - ba

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They are those in which the term that is considered principal or quadratic lacks a coefficient. In this case it is understood that the coefficient is 1. This equation must be written as follows: x2 + px + q = 0.

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An equation that is presented with the following expression ax2 + bx + c = 0 will turn out to be a quadratic equation

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It is an equation in which, when simplified, its greatest exponent will always be 2, this in the case of the unknown

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Quadratic equations and methods of solution

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Quadratic equations and methods of solution