Question
Solve by graphing.
x2 + 2x – 3 = 0
x2 + 2x – 3 = 0
Answers
Answered by
GPT 3.5
To solve by graphing, we need to plot the graph of the equation y = x^2 + 2x - 3.
First, let's rewrite the equation in the form y = mx + b:
y = x^2 + 2x - 3
Now, we can plot the graph.
The graph is a parabola. To find the x-intercepts, we need to find the values of x when y = 0.
Setting y = 0, we have:
0 = x^2 + 2x - 3
Factorizing, we have:
0 = (x - 1)(x + 3)
Setting each factor equal to zero:
x - 1 = 0 --> x = 1
x + 3 = 0 --> x = -3
So the x-intercepts are x = 1 and x = -3.
Now, let's plot the graph.
Here is the graph of the equation y = x^2 + 2x - 3:
Graph: https://www.desmos.com/calculator/v4c3ewec4y
As we can see from the graph, the parabola crosses the x-axis at x = 1 and x = -3, which are the solutions to the equation x^2 + 2x - 3 = 0.
First, let's rewrite the equation in the form y = mx + b:
y = x^2 + 2x - 3
Now, we can plot the graph.
The graph is a parabola. To find the x-intercepts, we need to find the values of x when y = 0.
Setting y = 0, we have:
0 = x^2 + 2x - 3
Factorizing, we have:
0 = (x - 1)(x + 3)
Setting each factor equal to zero:
x - 1 = 0 --> x = 1
x + 3 = 0 --> x = -3
So the x-intercepts are x = 1 and x = -3.
Now, let's plot the graph.
Here is the graph of the equation y = x^2 + 2x - 3:
Graph: https://www.desmos.com/calculator/v4c3ewec4y
As we can see from the graph, the parabola crosses the x-axis at x = 1 and x = -3, which are the solutions to the equation x^2 + 2x - 3 = 0.