You can solve equations either symbolically or numerically. GeoGebra
solves them automatically when you enter them in CAS
and click Symbolic Evaluation
or Numeric Evaluation
. Symbolic Evaluation
gives you the exact solution, while Numeric Evaluation
gives you the solution as a possibly approximated decimal number.
If you get as the output, then the equation has no solution. If you get , the equation has one solution, and if you get , the equation has two solutions. Note! Here and represent numbers.
GeoGebra
Instruction 1
CAS
CAS
under View
in Menu
. CAS
window. If the right-hand side of the equation is 0, you only need to type the expression on the left-hand side. Solve
in the Menubar
to get the exact solution, or click Solve Numerically
in the Menubar
to solve numerically.
Solving an equation graphically is the same as drawing the graph of the expressions on each side of the equation, and finding the -coordinate of the intersection between the graphs.
GeoGebra
Instruction 2
Graphics View
Algebra View
and Graphics View
in the View
menu. Algebra View
and press Enter
. Give the expressions fitting names. Intersect(<object>, <object>)
where the objects correspond to the two expressions. Press Enter
.
Algebra View
. Example 1
Solve the equation
graphically, where
The picture below shows the solutions to the equation that you get by following the instructions above.