Math Problem Statement

Solve the equations provided in the image, including rational equations and expressions.

Solution

It seems you have uploaded a photo of a mathematical problem in Russian. It includes some equations, which seem to be tasks related to algebra or rational functions. Here's a translation of the problems to help you better understand them:

  1. Variant 1
    • a) 3x25x22x=0\frac{3x^2 - 5x - 2}{2 - x} = 0
    • b) 3x2x1+x4x+3=3x2+1(x1)(x+3)\frac{3x - 2}{x - 1} + \frac{x - 4}{x + 3} = \frac{3x^2 + 1}{(x - 1)(x + 3)}
    • c) 2x54x+5=3x225\frac{2}{x - 5} - \frac{4}{x + 5} = \frac{3}{x^2 - 25}

Do you need help solving any of these problems or understanding the steps involved?

Let me know if you'd like detailed solutions or have any specific questions about these equations.


Related Questions:

  1. How to solve rational equations like the ones above?
  2. How to find the common denominator in rational functions?
  3. What is the significance of factoring in solving these types of equations?
  4. How do you deal with undefined values in rational expressions?
  5. How do you approach solving quadratic equations?

Tip: Always check for restrictions when dealing with rational functions, especially when denominators are involved, to avoid division by zero.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Rational Equations
Factoring
Common Denominators
Quadratic Equations

Formulas

General quadratic equation: ax^2 + bx + c = 0
Factoring: a^2 - b^2 = (a - b)(a + b)
Common denominator: a/b ± c/d = (ad ± bc)/bd

Theorems

Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
Properties of rational expressions: Avoid division by zero

Suitable Grade Level

Grades 9-11