Question

4/x-1 - 5/x+2 = 3/2
find the answer in simplification method
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Answer 1

4 / x - 1 - 5 / x + 2 = 3/2

[ 4( x + 2 ) - 5( x - 1 ) ] / ( x - 1 ) ( x + 2 ) = 3/2

( 4x + 8 - 5x + 5 ) / ( x² + 2x - x - 2 ) = 3/2

( - x + 13 ) / x² + x - 2 = 3/2

Cross multiplying

3 ( x² + x - 2 ) = 2 ( - x + 13 )

3x² + 3x - 6 = - 2x + 26

3x² + 3x + 2x - 6 - 26 = 0

3x² + 5x - 32 = 0

The sum cannot be simplified after this , please check your question once and repost it .

Thank you ❤️