- 24 = - 2y² + 2y
12 = y² - y
12 - y² + y = 0
- 12 + y² - y = 0
y² - y - 12 = 0
y² + 3y - 4y - 12 = 0
y × ( y + 3 ) - 4( y + 3 ) = 0
( y + 3 ) × ( y - 4 ) = 0
y + 3 = 0
y - 4 = 0
y = - 3
y = 4
______________________________
9y² - 12y - 5 = 0
9y² + 3y - 15y - 5 = 0
3y × ( 3y + 1 ) - 5(3y + 1 ) = 0
( 3y + 1 ) × ( 3y - 5 ) = 0
3y + 1 = 0
3y - 5 = 0
______________________________
( 3p - 5 )( p + 1 ) = - 4
3p² + 3p - 5p - 5 = - 4
3p² - 2p - 5 = - 4
3p² - 2p - 5 + 4 = 0
3p² + p - 3p - 1 = 0
p × ( 3p + 1 ) - ( 3p + 1 ) = 0
( 3p + 1 ) × ( p - 1 ) = 0
3p + 1 = 0
p - 1 = 0
______________________________
3x( x - 2 ) = 24
x × ( x - 2 ) = 8
x² - 2x = 8
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x × ( x + 2 ) - 4( x + 2 ) = 0
( x + 2 ) × ( x - 4 ) = 0
x + 2 = 0
x - 4 = 0
x = - 2
x = 4
______________________________
m(m+10)=2
m² + 10m = 0
m² + 10m - 2 = 0
3+6/(n-2)=k
n=1
n=3
n=5
n=4
n=8
ОТВЕТ:
n=1,3,4,5,8