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Press MATH. Then go down to the last option, which says "Solver...". Press Enter. If you do not see "eqn:0=" then press the up arrow until you do. Now type your quadratic equation in. It will automatically be set equal to zero. (Use the button to the left of ALPHA for a variable, or use a capital letter as your variable(s). Put the cursor over the value next to the variable you want to solve for. Then press ALPHA and then SOLVE (the ENTER key. Notice that SOLVE is written in green above the ENTER key.) You will get an answer. Type in other values next to the variable to solve for other possible answers. You will normally get the answer closest to the one that is next to the variable before you press solve.

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Q: How do you solve a quadratic equation on a TI-84?
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