# What is the correct factored form of the given equation? 4x^{2} - 25 = 0?

Quadratic equations are equation have a degree equal to two. They can have a maximum of two roots, depending on the value of their discriminants.

## Answer: The correct factored form of the given equation 4x^{2} - 25 = 0 is (2x - 5) (2x + 5).

Let's understand the answer step by step.

**Explanation:**

To factorize the given equation, we use the identity of a^{2} - b^{2} = (a - b) (a + b).

Given: 4x^{2} - 25 = 0.

Now, we see that 4x^{2} can be written as (2x)^{2}, after taking the square root.

And, we see that 25 is the square of 5, and can be represented as 5^{2}.

Now, we have (2x)^{2} - 5^{2 }= (2x - 5) (2x + 5), using the identity of a^{2} - b^{2} = (a - b) (a + b).