Question

solve the qudratic equation by factorisation method​

Answer 1

x + 3 / x - 2 - 1 - x / x = 17/4

[ x( x + 3 ) - ( x - 2 )( 1 - x ) / x ( x - 2 ) = 17/4

( x² + 3x - ( x - x² - 2 + 2x ) / x² - 2x = 17/4

x² + 3x - x + x² + 2 - 2x / x² - 2x = 17/4

2x² + 2 / x² - 2x = 17/4

4 ( 2x² + 2 ) = 17 ( x² - 2x )

8x² + 8 = 17x² - 34x

17x² - 8x² - 34x - 8 = 0

9x² - 34x - 8 = 0

9x² - 36x + 2x - 8 = 0

9x ( x - 4 ) 2 ( x - 4 ) = 0

( 9x + 2 ) ( x - 4 ) = 0

x = - 2/9 or 4