Final answer:
To solve the quadratic equation graphically, there are two approaches: graphing the equation and finding the x-intercepts or using a graphing calculator. Both methods give approximate solutions of -0.69 and 2.19.
Step-by-step explanation:
To solve the quadratic equation 2x^2 - 3=2x graphically, we can use two different approaches: graphing the equation and finding the x-intercepts, or using a graphing calculator to plot the equation. Let's use both methods:
Approach 1: Graphing the Equation
Rearrange the equation to get it in the form ax^2 + bx + c = 0. So, 2x^2 - 2x - 3 = 0. Now, plot the graph of this equation on a coordinate plane. The x-intercepts of the graph are the solutions to the equation. From the graph, we can estimate the x-intercepts to be approximately -0.69 and 2.19.
Approach 2: Using a Graphing Calculator
If you have access to a graphing calculator, you can input the equation 2x^2 - 2x - 3 and plot the graph. The x-intercepts of the graph will be the solutions to the equation. The calculator will give you more accurate values for the solutions, which are approximately -0.69 and 2.19.