EJERCICIO 1.docx - 1 Determine el valor de la variable X en la siguiente funci\u00f3n racional x 3\u221227 x 3 3 x 2 3 x 1 x 2 4 x 4 \u2212 2 = x\u22121 x 1)2 x 2)2

# EJERCICIO 1.docx - 1 Determine el valor de la variable X en...

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1. Determine el valor de la variable X en la siguiente función: racional: x 3 + 3 x 2 + 3 x + 1 ( x + 1 ) 2 x 2 + 4 x + 4 ( x + 2 ) 2 + ( x 3 27 ) ( x 2 + 3 x + 9 ) = x 1 1. x 3 + 3 x 2 + 3 x + 1 ( x + 1 ) 2 = ( x + 1 ) 3 ( x + 1 ) 2 =( x + 1 ) 3 2 =( x + 1 ) 2. x 2 + 4 x + 4 ( x + 2 ) 2 = ( x + 2 ) 2 ( x + 1 ) 2 =− 1 3. ( x 3 27 ) ( x 2 + 3 x + 9 ) = ( x 3 ) ( x 2 + 3 x + 9 ) ( x 2 + 3 x + 9 ) =( x 3 ) Finalmente queda: ( x + 1 ) 1 + ( x 3 ) = x 1 ( x + 1 ) + ( x 3 ) = x 1 + 1 ( x + 1 ) + ( x 3 ) = x x + 1 + x 3 x = 0 x 2 = 0 x = 2 Prueba 1. x 3 + 3 x 2 + 3 x + 1 ( x + 1 ) 2 x 2 + 4 x + 4 ( x + 2 ) 2 ( x 3 27 ) ( x 2 + 3 x + 9 ) 2. 2 3 + 3 ( 2 ) 2 + 3 ( 2 ) + 1 ( 2 + 1 ) 2 2 2 + 4 ( 2 )+ 4 ( 2 + 2 ) 2 ( 2 3 27 ) ( 2 2 + 3 ( 2 )+ 9 ) 3. 2 3 + 3 ( 2 ) 2 + 3 ( 2 ) + 1 2 2 + 2 ( 2 ) + 1 2 2 2 + 4 ( 2 ) + 4 2 2 + 4 ( 2 ) + 2 2 8 27 ( 4 + 6 + 9 ) 4. 8 + 12 + 6 + 1 4 + 4

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