Quadratic Formula – TI-84 Evo Math Program

Quadratic Formula program on a TI-84 Evo

Type a, b, and c and this program prints both solutions to ax² + bx + c = 0, with no formula to key in by hand.

Send it to your calculator

Plug the calculator into your computer with a USB cable, then use the button below. If something is not working, see troubleshooting.

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Open it on the calculator

  1. Press the prgm key. The PROGRAMMING menu opens.
    The prgm key highlighted on the TI-84 Evo keyboard
    TI-84 Evo PROGRAMMING menu with 1: TI-Basic highlighted
  2. Press enter to select TI-Basic. The list of TI-Basic programs opens.
    TI-84 Evo TI-Basic program list showing 1: QUAD
  3. Press enter on QUAD in the program list, which puts prgmQUAD on the home screen.
  4. Press enter to run it. The program prints the standard form AX²+BX+C=0 as a reminder of what each letter stands for, then asks for the first coefficient with an A? prompt.
    Quadratic Formula program running on the TI-84 Evo, showing the AX2+BX+C=0 form and an A? prompt

Solve a quadratic

  1. Type a, b, and c, pressing enter after each. For x² − 5x + 6, that's A = 1, then B = −5 (use the negative key, just left of enter, for the minus), then C = 6. The moment you enter C, it lists both solutions, labeled so you can read them off at a glance: X = 3 and X = 2.
    Quadratic Formula program on the TI-84 Evo solving x squared minus 5x plus 6, showing 3 and 2

To solve another one, just press enter on the home screen. The calculator reruns the program and the A? prompt comes right back.

Good to know

  • It's the quadratic formula, worked out for you. Behind the scenes the program evaluates x = (−b ± √(b² − 4ac)) / (2a) from the a, b, and c you type, so you get both roots without keying that whole expression in by hand.
  • A repeated solution shows up twice. x² − 4x + 4 has the one solution 2, so the program prints X = 2 and X = 2. That doubled answer is your signal the parabola just touches the x-axis at a single point.
  • Complex roots are supported. When the part under the square root is negative, the program says there are no real solutions and then prints both complex roots. For x² + 1 it gives X = i and X = −i. It switches the calculator to a+bi mode for the calculation and leaves that mode on.
    Quadratic Formula program on the TI-84 Evo showing i and negative i as the roots of x squared plus 1
  • Enter 0 for A and it isn't a quadratic. With no x² term, the program answers "Not a quadratic."

More TI-84 Evo Math Programs

← All TI-84 Evo math programs