SOLUTION: Resuelve completando el trinomio cuadrado perfecto: 0=2x^2-5x-12

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Question 1121268: Resuelve completando el trinomio cuadrado perfecto: 0=2x^2-5x-12
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


You asked: Solve by completing the perfect square trinomial

We must have a language problem here because your quadratic is not a perfect square trinomial. I'm almost certain that you wanted to ask "Solve 2x^2 - 5x - 12 = 0 by completing the square"

Aquí debemos tener un problema de lenguaje porque su cuadrática no es un trinomio cuadrado perfecto. Estoy casi seguro de que querías preguntar "Resuelve 2x ^ 2 - 5x - 12 = 0 completando el cuadrado"



Add the additive inverse of the constant term to both sides and then divide both sides by the lead coefficient:

Agregue el aditivo inverso del término constante a ambos lados y luego divida ambos lados por el coeficiente principal:



Divide the first-degree coefficient by 2, square the result, and add that result to both sides of the equation.

Divida el coeficiente de primer grado entre 2, cuadre el resultado y agregue ese resultado a ambos lados de la ecuación.



The left-hand side is now a perfect square. Factor it and simplify the right-hand side:

El lado izquierdo ahora es un cuadrado perfecto. Factorícelo y simplifique el lado derecho:



Take the square root remembering to include both positive and negative roots

Tome la raíz cuadrada recordando incluir raíces positivas y negativas



Then

Entonces



or

o






John

My calculator said it, I believe it, that settles it
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
If you are interested to learn on how to solve a quadratic equation using completing the square, read the lessons
    - HOW TO complete the square - Learning by examples
    - HOW TO solve quadratic equation by completing the square - Learning by examples
in this site.


                    H a p p y   l e a r n i n g  ! !



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