Если известен один комплексный корень многочлена z_0=2+3i , то известен и второй корень, сопряжённый ему, это будет z_1=2-3i . Значит в разложении на линейные множители многочлена p(z) будут присутствовать такие множители :
(z-(2+3i))\cdot (z-(2-3i))=(z-2-3i)\cdot (z-2+3i)=z^2-4z+13
Разделим многочлен p(z) на многочлен z^2-4z+13 . Получим
\frac{z^4-9z^3+39z^2-89z+78}{z^2-4z+13}=z^2-5z+6z^2-5z+6=0\; \; \to \; \; z_2=2\; ,\; z_3=3\; \; (teorema\; Vieta)\; \; \Rightarrow z^2-5z+6=(z-2)(z-3)
Окончательно получим
z^4-9z^3+39z^2-89z+78=(z-2-3i)(z-2+3i)(z-2)(z-3)
Пошаговое объяснение:
I believe that, indeed, you need to lead a healthy lifestyle,
because bad habits, unhealthy diet and bad
self-motivation has a very negative effect on duration and image
human life.
To lead a healthy lifestyle, the first thing to do is
motivate yourself to exercise, eat healthy, and quit
from bad habits. After all, without a motive (goal), a person performs actions
less willing and less productive. The next step should be
methodical performance of certain actions (whether it be exercises, running, dancing
etc.) and compliance with the daily routine. It is an essential part of a healthy
lifestyle.
And then the improvement in health will not be long in coming, because you
created all the prerequisites for improving their quality of life.
I would also like to say about the spiritual component of a healthy image
life, because when you walk cheerful, joyful, contented,
open and ready to tackle complex problems, the body will feel
much better than before.
Based on the above, we can conclude that healthy
lifestyle is an essential part of a happy and long life
