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QUESTION

Solve for the following polynomial for the value of x using factorization method\(\dfrac{x}{x+2} + \dfrac{2}{x^2+5x+6} = \dfrac{5}{x+3}\)

Solve for the following polynomial for the value of x using factorization method

\(\dfrac{x}{x+2} + \dfrac{2}{x^2+5x+6} = \dfrac{5}{x+3}\)

Hint: You can use factorization of the quadratic equation to simplify the equation.

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ANSWER

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***** ** *** ** **** simplify *** ******** ** factoring ********* ************************ * ******************* = ******************************** + \dfrac{2}{x^2+3x+2x+6} * \dfrac{5}{x+3}\)Taking * ****** ** ********* ******** ** get\(\dfrac{x}{x+2} * ************************ = *********************** simplifying we ******************* * ********************* = ****************************************** ****** ** ********************* + **************** ** *********************** ** get\(\dfrac{1}{x+2}[\dfrac{x(x+3)+2}{x+3} ** ***************

** ** ************************************

** ************** \\ **

\dfrac{x^2+3x+2}{(x+3)(x+2)} = \dfrac{5}{x+3}

\\ ** \dfrac{x^2+3x+2}{(x+2)} *

**

** \\ ***

+ **** *

****** ** ***

*** * *** 2 * 5x+10

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x^2 -2x-8 * ** *** ***

- ** +

2x ** * **

** x(x-4)

+2(x-4) * \\ ** ***** ***** * *

* ** +4\)x

* ** *

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