963 ( 3 )
( 2X^2 - 12X + 18 ) / 2X^2 - X - 15 ) =
1) 2X^2 - 12X + 18 = 2 * ( X^2 - 6X + 9 ) = 2 * ( X - 3 )*( X - 3 )
2) 2X^2 - X - 15 = 2 * ( X - 3 )*( X + 2,5 )
D = 1 + 120 = 121 ; √ D = 11
X1 = ( 1 + 11 ) : 4 = 3
X2 = ( 1 - 11 ) : 4 = - 2,5
3) сокращаем числитель и знаменатель на 2 * ( X - 3 )
ОТВЕТ ( Х - 3 ) / ( Х + 2,5 )
971 ( 1 )
2X^4 + X^2 - 3 = 0
X^2 = a ; a > 0
2a^2 + a - 3 = 0
D = 1 + 24 = 25 ; √ D = 5
a1 = ( - 1 + 5 ) : 4 = 1
a2 = ( - 1 - 5 ) : 4 = - 1,5 ( < 0 )
X^2 = 1
X1 = 1
X2 = - 1
ОТВЕТ 1 ; - 1