Объяснение:
x * (x ^ 2 + 6 * x + 9) = 4 * (x + 3);
x * (x ^ 2 + 6 * x + 9) - 4 * (x + 3) = 0;
x * (x + 3) ^ 2 - 4 * (x + 3) = 0;
(x + 3) * (x * (x + 3) - 4) = 0;
1) x + 3 = 0
;x = 0 - 3;
x = - 3;
2) x * (x + 3) - 4 = 0;
x ^ 2 + 3 * x - 4 = 0;
D = b ^ 2 - 4 * a * c = 3 ^ 2 - 4 * 1 * (- 4) = 9 + 16 = 25;
x1 = (- 3 + 5)/2 = 2/2 = 1;
x2 = (- 3 - 5)/2 = - 8/2 = - 4;
ответ: х = - 3, x = 1 и x = - 4.
ответ: 0.
Объяснение:
x * (x ^ 2 + 6 * x + 9) = 4 * (x + 3);
x * (x ^ 2 + 6 * x + 9) - 4 * (x + 3) = 0;
x * (x + 3) ^ 2 - 4 * (x + 3) = 0;
(x + 3) * (x * (x + 3) - 4) = 0;
1) x + 3 = 0
;x = 0 - 3;
x = - 3;
2) x * (x + 3) - 4 = 0;
x ^ 2 + 3 * x - 4 = 0;
D = b ^ 2 - 4 * a * c = 3 ^ 2 - 4 * 1 * (- 4) = 9 + 16 = 25;
x1 = (- 3 + 5)/2 = 2/2 = 1;
x2 = (- 3 - 5)/2 = - 8/2 = - 4;
ответ: х = - 3, x = 1 и x = - 4.
ответ: 0.