Question

20 БАЛЛОВ! Решить уравнения методом замены переменной

Answer 1

Решение в приложении

Answer 2

Solving Equations by Variable Substitution

To solve equations using the method of variable substitution, we substitute one variable with another to simplify the equation and make it easier to solve. Here's how you can solve equations using this method:

1. Identify a suitable substitution: Look for a variable that can be easily substituted to simplify the equation. For example, if you have a quadratic equation, you can substitute the quadratic term with a new variable to convert it into a linear equation.

2. Substitute the variable: Replace the chosen variable with the new variable throughout the equation.

3. Solve the simplified equation: Solve the resulting equation for the new variable.

4. Substitute back: Substitute the value of the new variable back into the original equation to find the solution.

Let's solve an example equation using the method of variable substitution.

Example: Solve the equation 2x^2 - 5x + 2 = 0 using the method of variable substitution.

Solution: 1. Identify a suitable substitution: In this case, we can substitute x^2 with a new variable y.

2. Substitute the variable: Replace x^2 with y in the equation: 2y - 5x + 2 = 0

3. Solve the simplified equation: Solve the resulting equation for y: 2y - 5x + 2 = 0

4. Substitute back: Substitute the value of y back into the original equation to find the solution.

Unfortunately, I couldn't find any specific examples or equations to solve using the method of variable substitution in the search results. If you have a specific equation you would like me to solve using this method, please provide the equation, and I'll be happy to help you solve it step by step.