Find the real solutions of the equation x^2-x+2=0 by graphing
To find the real solutions of the equation x^2-x+2=0 by graphing, we can plot the equation on a coordinate plane and see where the graph intersects the x-axis.
To graph the equation y = x^2-x+2, we need to find the x and y values for different x inputs. Let's find a few points to plot:
When x = -2, y = (-2)^2 - (-2) + 2 = 4 + 2 + 2 = 8.
When x = -1, y = (-1)^2 - (-1) + 2 = 1 + 1 + 2 = 3.
When x = 0, y = (0)^2 - (0) + 2 = 0 + 0 + 2 = 2.
When x = 1, y = (1)^2 - (1) + 2 = 1 - 1 + 2 = 2.
When x = 2, y = (2)^2 - (2) + 2 = 4 - 2 + 2 = 4.
Now, plot these points on a coordinate plane to create the graph of y = x^2-x+2.