Question

Create a function graph to answer the question. Use the function graph to solve for the solutions to the equation x^2+2x=3
.(1 point)
Responses

x=2,0
x equals 2 comma 0

x=0,1
x equals 0 comma 1

no solution
no solution

x=−3,1
x equals negative 3 comma 1

Answer 1

To solve the equation \( x^2 + 2x = 3 \), we can first rearrange it into standard form:

\[
x^2 + 2x - 3 = 0.
\]

Next, we can factor the quadratic equation:

\[
(x + 3)(x - 1) = 0.
\]

Setting each factor equal to zero gives us the potential solutions:

1. \( x + 3 = 0 \) → \( x = -3 \)
2. \( x - 1 = 0 \) → \( x = 1 \)

Thus, the solutions to the equation \( x^2 + 2x = 3 \) are:

\[
x = -3 \quad \text{and} \quad x = 1.
\]

Now, we can summarize the answer in the format provided:

**x = -3, 1**

This means the correct response is:

**x equals negative 3 comma 1.**