Solve 3x^2-8x+4=0 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
A)2;between 0 and 1
B)between 0 and 1;between 7 and 8
C)1,2
D)between 0 and 1;between 3 and 4
I don't understand this one either
To solve 3x^2-8x+4=0 by graphing, follow these steps:
Step 1: Plot the quadratic equation on a graph.
On the y-axis, you can plot the equation 3x^2-8x+4=0. To do this, you need to calculate the y-values for various x-values. Pick a range of x-values, calculate the corresponding y-values using the equation, and plot the points on the graph.
Step 2: Observe the graph.
Look at the graph and analyze its shape. In this case, the graph represents a quadratic equation, which is a parabola. By looking at the graph, you can determine the approximate location of the roots, or the x-values where the curve intersects the x-axis.
Step 3: Identify the roots.
Identify the x-values where the curve intersects the x-axis or where the y-value is zero. These x-values represent the roots of the equation.
Step 4: Determine the consecutive integers between which the roots are located.
If the exact roots cannot be found by looking at the graph, you can estimate the roots by looking at the x-values on either side of the point where the curve intersects the x-axis. The consecutive integers between which the roots are located are the x-values immediately to the left and right of the intersection point.
In this case, based on the graph, it appears that the roots are located between 0 and 1. Therefore, the correct answer would be option A) 2; between 0 and 1.