The equation is .
Solve by algebraically.
\ (Subtract 6 from each side) \ \
(Simplify) \ \
(Divide each side by negative 2) \ \
(Divide:
)
The solution is 3. \ \
Solve by graphing.
\The equation is .
The related function is .
To graph the function make a table \ \
\\
Draw a table \ \
\x | \ f(x) = ![]() | \
\
f(x) \ \ \ | \
(x, f(x)) \ \ | \
\
1 \ \ \ | \
\
| \
\
4 \ \ \ | \
(1, 4) | \
\
2 \ \ \ | \
\
| \
\
2 \ \ \ | \
(2, 2) | \
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 3, hence the solution is 3.
\ The root of the equation is 3.