Question

answer the given problem....x/x+1 +x+1/x =25/12​

Answer 1

Answer:

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Answer 2

Answer:

Hi ,

( x + 1 )/x + x /( x + 1 ) = 25/12

[ ( x + 1 )² + x² ] / [ x( x + 1 ) ] = 25/12

[ x² + 2x + 1 + x² ] / ( x² + x) = 25/12

( 2x² + 2x + 1 ) / ( x² + x ) = 25/12

12( 2x² + 2x + 1 ) = 25( x² + x )

24x² + 24x + 12 = 25x² + 25x

0 = 25x² + 25x - 24x² - 24x - 12

x² + x - 12 = 0

splitting the middle term ,

x² + 4x - 3x - 12 = 0

x ( x + 4 ) - 3( x + 4 ) = 0

( x + 4 ) ( x - 3 ) = 0

x + 4 = 0 or x - 3 = 0

x = - 4 or x = 3

I hope this helps you.

: )

Step-by-step explanation:

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