Find the zeros of 4x*x- 25​​​​​​​​

To find the zeros of the quadratic function \(4x^2 - 25 = 0\), follow these steps:

### Step 1: Set the equation equal to zero
\[
4x^2 - 25 = 0
\]

### Step 2: Move the constant to the other side
\[
4x^2 = 25
\]

### Step 3: Divide both sides by 4
\[
x^2 = \frac{25}{4}
\]

### Step 4: Take the square root of both sides
\[
x = \pm \sqrt{\frac{25}{4}} = \pm \frac{5}{2}
\]

### Final Answer:
The zeros of the function are:
\[
x = \frac{5}{2}, \quad x = -\frac{5}{2}
\]

Would you like further clarification or additional details?

Here are 5 related questions:
1. How do you solve a quadratic equation using the quadratic formula?
2. What is the difference between real and complex zeros of a function?
3. How do you graph a quadratic function and find its intercepts?
4. What role do discriminants play in determining the number of zeros?
5. How can you factor a quadratic function to find its zeros?

**Tip:** Always check if a quadratic equation can be factored easily before using other methods like the quadratic formula.

Learn how to find the zeros of the quadratic equation 4x^2 - 25 using algebraic methods. This problem involves solving quadratic equations through the square root method and applying the Zero Product Property. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation