2+х-3х^2/9х^2-4 сократите дробь

Question

2+х-3х^2/9х^2-4 сократите дробь

Comments

между 2 и Х точно плюс?

Answer 1

2 + x - 3x² = 3x² - x - 2 = 3( x - 1 )( x + 2/3 ) = ( x - 1 )( 3x + 2 )
D = 1 + 24 = 25 = 5²
x1 = ( 1 + 5 ) : 6 = 1 
x2 = ( 1 - 5 ) : 6 = - 2/3 
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9x² - 4 = ( 3x - 2 )( 3x + 2 )
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( 2 + x - 3x² ) / ( 9x² - 4 ) = ( ( x - 1 )( 3x + 2 )) / (( 3x - 2 )( 3x + 2 )) =
= ( x - 1 )( 3x - 2 )