Question

Дано уравнение х³+х=2 Методом подбора нашли корень: х=1 Пожалуйста, распишите, как к такому решению можно прийти с научной точки зрения (системы уравнений и т.д.). ЗА ОТВЕТЫ НЕ ПО ТЕМЕ ТИПА "НИКАК" ИЛИ "ЗНАЮ, НО НЕ ПОМНЮ" БУДУ ОТПРАВЛЯТЬ ЖАЛОБЫ И ПРОКЛИНАТЬ! Спасибо:3

Answer 1

Подбор имеет место, если  рассуждать, что функция возрастающая и функция убывающая имеют точку пересечения и одну. См. решение в приложенном файле

Answer 2

Solving the Equation x³ + x = 2

To solve the equation x³ + x = 2 using the method of trial and error, we can start by substituting different values of x until we find a value that satisfies the equation. In this case, the given root is x = 1. Let's explore this solution from a scientific perspective.

The equation x³ + x = 2 can be represented as a function f(x) = x³ + x - 2. To find the root of this equation, we are essentially looking for the value of x that makes the function equal to zero, i.e., f(x) = 0.

Scientific Approach to Finding the Root

When solving equations, it's important to consider the properties of the function and how it behaves. In this case, the function f(x) = x³ + x - 2 is a polynomial function of degree 3, which means it can have up to 3 real roots.

By substituting different values of x into the function, we can observe the behavior of the function and look for a value that makes the function equal to zero. The given root x = 1 satisfies the equation, as 1³ + 1 - 2 = 0.

Conclusion

In conclusion, the method of trial and error, or "guess and check," can be used to find roots of equations. In this case, the given root x = 1 satisfies the equation x³ + x = 2. From a scientific perspective, this approach involves substituting values into the function and observing the behavior of the function to find the desired root.

If you have further questions or would like to explore more mathematical concepts, feel free to ask!