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=0,1 x equals 0 comma 1 no solution no solution x=2,0 x equals 2 comma 0 x=−3,1 x equals negative 3 comma 1

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 two solutions:

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

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

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

Based on the provided responses, the correct answer is:

x = -3, 1 (x equals negative 3 comma 1).