Create a function graph to answer the question. Use the function graph to solve for the solutions to the equation x2+2x=3

Question

.(1 point)
Responses

x=0,1
x equals 0 comma 1

x=−3,1
x equals negative 3 comma 1

x=2,0
x equals 2 comma 0

no solution

Answer 1

To solve the equation \( x^2 + 2x = 3 \), we first rewrite it in 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 are:

• \( x = -3 \)
• \( x = 1 \)

Now, matching this with your provided responses, we have:

Response: \( x = -3, 1 \)

So the correct answer is:

• x equals negative 3 comma 1