https://r2.erweima.ai/mathbot/image/1726238817808lz5gtu63.jpg

Let's break down the two exercises presented in the image:

1. **El valor numérico de: \( f(x) = 2 \), si \( x = -2 \) es...**

   - This asks for the value of the function \( f(x) = 2 \) when \( x = -2 \).
   - Since the function is defined as a constant, \( f(x) = 2 \), the value of \( f(x) \) does not depend on \( x \). Therefore, the value is \( 2 \) regardless of the value of \( x \).
   - **Answer:** The value is 2.

2. **Calcula el valor de: \( b^2 - 4ac \), para la ecuación: 5**

   - This asks to calculate the discriminant, \( \Delta = b^2 - 4ac \), where the given equation equals 5.
   - Unfortunately, the equation isn't fully specified in the problem, so we would need the full quadratic equation in standard form \( ax^2 + bx + c = 0 \) to calculate the discriminant. Without the specific values of \( a \), \( b \), and \( c \), it's not possible to solve this directly.
   - **Clarification needed:** More details about the quadratic equation are required to solve this.

Would you like more details or have any specific questions?

Here are 5 related questions that expand on this:
1. What is the general formula to calculate the discriminant of a quadratic equation?
2. How does the discriminant value affect the number and type of solutions for a quadratic equation?
3. What happens to the function's value if \( f(x) \) were not constant but instead dependent on \( x \)?
4. How do we solve for the roots of a quadratic equation using the discriminant?
5. Can you calculate the discriminant for the quadratic equation \( 2x^2 + 3x - 5 = 0 \)?

**Tip:** The discriminant \( b^2 - 4ac \) helps determine if a quadratic equation has real or complex roots.

El valor numérico de: f(x) = 2 Si: x = -2 es... Calcula el valor de: b^2 - 4ac; para la ecuación: 5

Learn how to evaluate the value of a constant function f(x) = 2 at x = -2 and calculate the discriminant of a quadratic equation using b^2 - 4ac. This problem covers key algebraic concepts, including constant functions and the discriminant theorem, suitable for Grades 7-9 students.

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