Mh006
Mh006
24-10-2014
Mathematics
contestada
How do you solve this equation
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konrad509
konrad509
24-10-2014
[tex]D_f:x\not =0 \wedge x\not=-3 \\ D_f:x\in\mathbb{R}\setminus\{-3,0\}\\ \frac{17}{x}-\frac{11}{x+3}=\frac{5x+8}{x+3}|\cdot x(x+3)\\ 17(x+3)-11x=x(5x+8)\\ 17x+51-11x=5x^2+8x\\ 5x^2+2x-51=0\\ 5x^2-15x+17x-51=0\\ 5x(x-3)+17(x-3)=0\\ (5x+17)(x-3)=0\\ x=-\frac{17}{5} \vee x=3 [/tex]
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