Steps 
Key Sequence 
Screens 
Method 1: Use to find solutions of f_{1}(x) = f_{2}(x). 
Example: Solve x^{3} + 3x^{2} + 2x = 5. 
1. Input f_{1}(x) into Y1 (in this example Y1=x^{3}+3x^{2}+2x) 


2. Input f_{2}(x) into Y2 (in this example Y2=5) 


3. Graph 
Press GRAPH 

4. Find Intersection 
Press 2^{nd}, then TRACE (for CALC) 


Press 5 (for intersect) 


Press ENTER two (2) times 


Move cursor close to intersection, then press ENTER 

NOTE: The point of intersection is on the bottom of the TI83 screen. The solution
is the xcoordinate of the intersection. Repeat Step #4
for other intersections. 



Method 2: Use to find one root of f_{1}(x) – f_{2}(x) = 0 
Example: Solve x^{3} + 2x = –3x^{2}. 
Rewrite the equation so that all terms are on one side: x^{3} + 3x^{2} + 2x = 0 
1. Set Up Solve() Function 
Press 2^{nd}, then 0 (for CATALOG() 


Press LN key to scroll down to S 


Scroll down to solve( 


Press ENTER 

2. Type in Function 


3. Input Independent Variable 
Press comma, then variable solving for, then comma 

4. Input Guess 
Type number near one of the roots, then right parenthesis 

5. Execute 
Press ENTER 

NOTE: This method finds only one solution. You will need to input several
guesses to find all the roots. 