(x - 2) (x + 4)^2 = 7(x+4)
(x - 2)*(x + 4)^2 - 7(x+4) = 0
(x+ 4) ((x - 2)(x + 4) - 7) = 0
(x+ 4) (x^2 + 2x - 8 - 7) = 0
(x + 4) ( x^2 + 2x - 15) = 0
x + 4 = 0
x1 = - 4
x^2 + 2x - 15 = 0
D = 4 + 4*15 = 64
x2 = ( - 2 + 8)/2 = 6/2 = 3;
x3 = ( - 2 - 8)/2 = - 10/2 = - 5
Ответ:
- 5; - 4; 3
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Cos(x+3π)=0
x+3π=π/2+πn, n∈Z
x=π/2-3π+πn, n∈Z
x= -5π/2 +πn, n∈Z
3•( х + y ) + 1 = x + 4y
7 - 2•( x - y ) = x - 8y
Решение
3х + 3y + 1 = x + 4y
3x - x = 4y - 3y - 1
2x = y - 1
y = 2x + 1
7 - 2x + 2y = x - 8y
2y + 8y = x + 2x - 7
10y = 3x - 7
10•( 2x + 1 ) = 3x - 7
20x + 10 = 3x - 7
17x = - 17
x = - 1
y = 2•( - 1 ) + 1 = - 2 + 1 = - 1
Ответ ( - 1 ; - 1 )