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

no solution
no solution

x=2,0
x equals 2 comma 0

x=0,1
x equals 0 comma 1

x=−3,1

Answer 1

To solve the equation \( x^2 + 2x = 3 \), we can rearrange it to 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 solutions:

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

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

\[ x = -3, \quad x = 1 \]

The correct response among the choices provided is:

x = −3, 1