https://file.aiquickdraw.com/mathbot/file/1725843743052b3d5ma0l.jpg

The image contains several algebraic expressions, specifically quadratic equations and polynomial equations, along with steps to solve or manipulate them. The notation appears to be in a mix of English and another language (possibly Bengali), but the mathematical operations are clear.

Here is a breakdown of the steps shown:

1. **Equation 1:** \( x^2 - 4x + 5 \)
   - The expression is given, and the next steps seem to involve solving it or further manipulating it.

2. **Equation 2:** \( x - 4 + 10 = 0 \)
   - This is another equation, though it looks simpler and linear. 

3. **Equation 3:** \( 4(x^2 - 4x + 5) + 10 = 0 \)
   - This equation is formed by multiplying the first equation by 4 and adding 10.

4. **Equation 4:** \( x - 4(x^2 - 17x + 10) = 0 \)
   - This equation seems to be a modified version of the previous expressions, likely derived from some operation like distribution or factoring.

5. **Equation 5:** \( 4x^2 - 17x + 10 = 0 \)
   - A quadratic equation, possibly simplified from the previous expressions, ready for solving using the quadratic formula or factoring.

The process appears to involve forming and solving quadratic equations, applying operations like expansion, distribution, and simplification.

If you need further explanation or a detailed step-by-step solution to any of these equations, feel free to ask!

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**Relative Questions:**
1. How do you solve quadratic equations by factoring?
2. What is the quadratic formula, and when should you use it?
3. How can you simplify a polynomial expression like the ones in the image?
4. What is the significance of the discriminant in quadratic equations?
5. How do you apply the method of completing the square to solve quadratic equations?

**Tip:** When solving quadratic equations, always check if the equation can be factored easily before using the quadratic formula, as factoring can be quicker and simpler.

Solve the algebraic equations shown in the image, including quadratic equations and polynomial expressions.

This page provides a step-by-step solution to quadratic and polynomial equations. The problem involves simplifying expressions, applying the quadratic formula, and factoring equations. Suitable for students in Grades 9-10.

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