Вопрос
HaHue 2 Peunte ypaBHeHue x^4=(2x-24)^2
Решения
4.3
(274 Голоса)
Татьяна
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
To solve the equation
, we can start by expanding the right side of the equation:
Now, we can equate the left side of the equation to the expanded right side:
To solve this equation, we can rearrange it to form a quadratic equation by substituting
:
Now, we can solve this quadratic equation using the quadratic formula:
In this case,
,
, and
. Substituting these values into the quadratic formula, we get:
Simplifying further, we have:
Now, we can substitute
back into the equation:
To find the values of
, we need to solve this equation. However, it is a transcendental equation and cannot be solved algebraically. We can use numerical methods such as the Newton-Raphson method or the bisection method to approximate the solutions.Using a numerical method, we find that the solutions to the equation are approximately:
or
Therefore, the solutions to the equation
are
or
.