Cократите дробь: 9x^2+19x-24/36x^2-59x+24 - вопрос №78684219219243625924 от felgovanp09wqq 03.05.2023 11:21

Question

Алгебра: Cократите дробь: 9x^2+19x-24/36x^2-59x+24

felgovanp09wqq · Answer

9x² + 19x - 24 = 9( x - 8/9 )( x + 3 )
D = 361 + 864 = 1225 = 35²
x1 = ( - 19 + 35 ) : 18 = 16/18 = 8/9
x2 = ( - 19 - 35 ) : 18 = - 54 : 18 = - 3

36x² - 59x + 24 = 36(x - 8/9 )( x - 6/8 )
D = 3481 - 3456 = 25 = 5²
x1 = ( 59 + 5 ) : 72 = 64/72 = 8/9
x2 = ( 59 - 5 ) : 72 = 54/72 = 6/8

( ( 9( x - 8/9 )( x + 3 )) / ( 36( x - 8/9 )( x - 6/8 )) = ( x + 3 )/( 4( x - 6/8 )) =
= ( x + 3 ) / ( 4x - 3 )
ответ ( x + 3 ) / ( 4x - 3 )