Question

5{x/x+1}^2 - 4{x/x+1}-1=0 where x not=-1 solve by factorization method

Answer 1

Let x/x+1 = k

5k^2 - 4k - 1 = 0

=> 5k^2 - 5k + k - 1 = 0

=> 5k(k - 1) + 1(k - 1) = 0

=> (5k + 1)(k - 1) = 0

=> k = 1, -1/5

When k = -1/5:

x/x+1 = -1/5

5x = -x - 1

6x = -1

x = -1/6

When k = 1:

x/x+1 = 1

x = x + 1

Squaring on both sides:

x^2 = x^2 + 1 + 2x

2x + 1 = 0

x = -1/2

Answer 2

Answer:

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"La Marseillaise" is the national anthem of France. The song was written in 1792 by Claude Joseph Rouget de Lisle in Strasbourg after the declaration of war by France against Austria, and was originally titled "Chant de guerre pour l'Armée du Rhin". Wikipedia

Composed: 1792

Composer: Claude Joseph Rouget de Lisle

Lyricist: Claude Joseph Rouget de Lisle

First performance: May 1792

Place composed: Strasburg, Michigan, United States