2nd [CATALOG], solve( , enter equation, variable and guess after the bracket, close brackets with " ) ". You can also put lower and upper bounds after the guess.
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Some TI83's can be set up differently, so it is highly recommendable to read the user guide for the TI83 in question. The user would need to go into the VarStat option and enter all the appropriate fields to have the calculator bring in the appropriate variables and totals.
Press mode, highlight SCI and press ENTER. The calculator is now in scientific notation mode. Press 2nd quit. Now, if you do a calculation such as 1234 x 5678, the answer will be in scientific notation. (In this case, 7.006652ᴇ6, which stands for 7.006652 x 106)
Press MODE and select NORMAL at the top. (You may notice that SCI was selected for scientific notation.)