Question

625^x - 6 * 125^x + 9 * 25^x = 4 * 25^x - 24 * 5^x + 36 Решите пожалуйста

Answer 1

Наверное, вот так. Точно не знаю)

Answer 2

Problem Statement

You are looking to solve the equation: 625^x - 6 * 125^x + 9 * 25^x = 4 * 25^x - 24 * 5^x + 36.

Solution

To solve this equation, we can simplify it by noticing that all the terms have a common base of either 5 or 25. Let's rewrite the equation using this observation:

(5^4)^x - 6 * (5^3)^x + 9 * (5^2)^x = 4 * (5^2)^x - 24 * 5^x + 36.

Now, let's substitute y = 5^x. The equation becomes:

y^4 - 6 * y^3 + 9 * y^2 = 4 * y^2 - 24 * y + 36.

Simplifying further, we have:

y^4 - 6 * y^3 + 5 * y^2 + 24 * y - 36 = 0.

Now, we can solve this equation for y using numerical methods or factoring techniques. However, since the equation is quite complex, it may not have simple solutions. We can use numerical methods, such as the Newton-Raphson method or the bisection method, to approximate the solutions.

Unfortunately, without additional information or constraints, it is not possible to provide an exact solution to this equation.