Question

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Answer 1

Respuesta:

x = 1

Explicación paso a paso:

$\frac{2}{x+2}+\frac{1}{2x-1}=\frac{5}{2x^{2}+3x-2 } \\\\\frac{2(2x-1)+1(x+2)}{(x+2)(2x-1)}= \frac{5}{2x^{2}+3x-2 }\\\\\frac{4x-2+x+2}{2x^{2}+3x-2} = \frac{5}{2x^{2}+3x-2 }\\\\\frac{5x}{2x^{2}+3x-2} = \frac{5}{2x^{2}+3x-2 }\\\\5x= \frac{5}{2x^{2}+3x-2 }.(2x^{2}+3x-2)\\\\5x=5\\x=1$