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HaHue 2 Peunte YpaBHeHue X^4=(2x-24)^2

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 .