Question

2/2x-3 - 32x^2-15/(2x-3)(2x+3)=3x/2x+3

Answer 1

общий знаменатель ( 2x - 3 )( 2x + 3 ) 
x ≠ 1,5 ; x ≠ - 1,5 
9 - 4x^2 = ( 3 - 2x )( 3 + 2x ) = - ( 2x - 3 )( 2x + 3 ) 
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2x( 2x + 3 ) + ( 32x^2 - 15 ) = 3x( 2x - 3 ) 
4x^2 + 6x + 32x^2 - 15 = 6x^2 - 9x 
36x^2 + 6x - 15 - 6x^2 + 9x = 0 
30x^2 + 15x - 15 = 0 
15( 2x^2 + x - 1 ) = 0 
D = 1 + 8 = 9 = 3^2 
x1 = ( - 1 + 3 ) : 4 = 0,5 
x2 = ( - 1 - 3 ) : 4 = - 1