What is the solution to the rational equation (5/(x^2+3x+2))+(1/(x+2))=(1/(3x+3))
x = -8
manuel1234, you have given an answer without explanation. That is against CoC. http://openstudy.com/code-of-conduct
I have to report you
nooooo dont
The purpose of this site is to help users. Giving answers does not help anyone learn anything. Giving answers is a form of cheating and cheating is not what this site is about.
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@militarygirl96 , you should want explanations, not answers.
i want both but this is one that is trial and error so that would be alot of work to show
It's not trial and error. The steps are simple
You just have to make sure the denominators are factored first
\[\huge\color{salmon}{\text{Zepp}}\]
@zepp
o.o
\[\large \frac{5}{(x^2+3x+2}+\frac{1}{x+2}=\frac{1}{(3x+3)}\]
\( \humongous \color{orange} {\text{ZEPP}} \) \( \giant \color{orange} {\text{ZEPP}} \) \( \enormous \color{orange} {\text{ZEPP}} \) \( \gigantic \color{orange} {\text{ZEPP}} \) \( \xlarge \color{orange} {\text{ZEPP}} \) \( \enlarged \color{orange} {\text{ZEPP}} \) none of these work
\[\big\color{red}{\text{ZEPP}}\]
I don't know why that isn't working
First step would be to get the same denominator\[\large \begin{align} \frac{5}{x^2+3x+2}+\frac{1}{x+2}&=\frac{1}{(3x+3)}\\ \\ \frac{5}{(x+1)(x+2)}+\frac{1}{x+2}&=\frac{1}{(3x+3)}\\ \\ \frac{5}{(x+1)(x+2)}+\frac{1(x+1)}{(x+2)(x+1)}&=\frac{1}{(3x+3)}\\ \\ \\ \frac{5+1(x+1)}{(x+2)(x+1)}&=\frac{1}{3*(x+1)}\\ \\ \\ \frac{5+x+1}{(x+2)(x+1)}&=\frac{1}{3*(x+1)}\\ \\ \frac{x+6}{(x+2)(x+1)}&=\frac{1}{3*(x+1)}\\ \\ \\ (x+2)(x+1)&=(x+6)*3*(x+1)\\ \\ \frac{(x+2)(x+1)}{(x+1)}&=3(x+6)\\ \\ \\ x+2&=3x+18\\ \\ x&=3x+18-2\\ \\ x&=3x+16\\ \\ x-3x&=16\\ \\ -2x&=16\\ \\ x&=\frac{16}{-2}\\ \\ x&=-8 \end{align}\]
My steps would be better
What's with all these adjective in front of my name, @Hero? o.O
Fails at getting bigger font size
Post your steps please? :D
I skipped the first factorization thing, otherwise it would be longer :S
Nah, that would be a complete waste of time
I can show you in vyew though
Hero you lazy ;C
Nah it's fine, I'm watching a lecture, thanks for the proposition though
Basically I can do these without using LCD
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