Question

What are the x-intercepts of the quadratic equation below?
！=（2：-3）（2-6）
(1 point)
• (-3, 0) and (-6, 0)
• (3, 0) and (6, 0)
• (-1.5, 0) and (-6, 0)
• (1.5. 0) and (6, 0)

Answer 1

To find the x-intercepts of the quadratic equation you provided, we need to first understand its structure. The equation you wrote seems unclear with the symbols used. It appears you might be using a specific format or notation that isn't standard.

However, if we assume you intended to write a quadratic equation in the factorized form \( y = a(x - r_1)(x - r_2) \), where \( r_1 \) and \( r_2 \) are the x-intercepts, we will need to extract the roots.

From what you provided, it seems like you are suggesting the factors are \( (2 : -3) \) and \( (2 - 6) \).

Let's clarify these factors. Assuming the factorization looks something like \( (x + 3)(x + 6) \):

To find the x-intercepts, set \( y = 0 \):
\[
(x + 3)(x + 6) = 0
\]

This gives us:
1. \( x + 3 = 0 \) → \( x = -3 \)
2. \( x + 6 = 0 \) → \( x = -6 \)

Thus, the x-intercepts of the quadratic equation are \( (-3, 0) \) and \( (-6, 0) \).

Therefore, the correct answer is:

• (-3, 0) and (-6, 0)