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Let's solve the tasks visible in the image step by step:

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### **1. Task**

#### a) Which equation is quadratic?

Quadratic equations are of the form \( ax^2 + bx + c = 0 \), where \( a \neq 0 \). Let's analyze the options:

- A) \( 5x - 1 = 0 \): This is a linear equation (no \( x^2 \) term).
- B) \( 2x^2 + 4x = 0 \): This is a quadratic equation.
- C) \( 3x + 5x = 0 \): This is a linear equation.
- D) \( x - 2^2 = 0 \): No \( x^2 \) term; this is also linear.

**Answer: B) \( 2x^2 + 4x = 0 \)**

#### b) Write the coefficient \( a \) for the quadratic equation \( 2x^2 - 7x + 1 = 0 \).

In the equation \( 2x^2 - 7x + 1 = 0 \), the coefficient \( a \) is the number in front of \( x^2 \), which is \( a = 2 \).

**Answer: \( a = 2 \)**

#### c) Which equation has the coefficients \( a = 2 \), \( b = 3 \), and \( c = 4 \)?

We need to find the equation of the form \( 2x^2 + 3x + 4 = 0 \). Let's analyze the options:

- A) \( 2x^2 + 4x + 3 = 0 \): Incorrect coefficients.
- B) \( 4x^2 + 2x + 3 = 0 \): Incorrect coefficients.
- C) \( 3x^2 + 2x + 4 = 0 \): Incorrect coefficients.
- D) \( 2x^2 + 3x + 4 = 0 \): Correct coefficients.

**Answer: D) \( 2x^2 + 3x + 4 = 0 \)**

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### **2. Task**

#### Mark 3 quadratic equations:

Quadratic equations follow the form \( ax^2 + bx + c = 0 \), where \( a \neq 0 \) and \( x^2 \) is present.

- A) \( x^2 - 49 = 0 \): This is a quadratic equation.
- B) \( x^2 + 3x + x^3 = 0 \): Not quadratic (has an \( x^3 \) term).
- C) \( (x^2 - 4)(x + 4) = 0 \): This can be expanded into a quadratic equation.
- D) \( x(x + 7) = 0 \): This is quadratic (can be written as \( x^2 + 7x = 0 \)).
- E) \( (x + 5)^2 = 0 \): This is a quadratic equation (expands to \( x^2 + 10x + 25 = 0 \

Solve the math tasks related to quadratic equations. Tasks involve identifying quadratic equations, finding coefficients, and marking correct equations.

This problem set focuses on quadratic equations, including tasks such as identifying quadratic forms, determining coefficients, and selecting correct equations. It covers key algebraic concepts suitable for students in Grades 8-10.

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