The equation is .

Solve by algebraically.

Apply addition property of equality: Add 2 to each side.

                              (Simplify)

Apply division property of equality: Divide each side by 4.

                             (Divide: )

The solution is 0.5. 

Solve by graphing.

The equation is .

The related function is .

To graph the function make a table

Draw a table

x	f(x) = 4x 2	\             f(x) \	(x, f(x))
\ 1 \	\    = 4(1)2 \	\ 2 \	(1, 2)
\ 2 \	\ = 4(2) 2 \	\ 6 \	(2, 6)

Use these ordered pairs to graph the equation.

1.      Draw a coordinate plane.

2.      Plot the points.

3.      Draw a line through these points.

The graph intersects the x-axis at 0.5, hence the solution is 0.5.

The root of the equation is 0.5.