College Admission Calculator

by
Reviewed by: David Chen, CFA. Last Updated: December 2025.

This tool uses the power of the Texas Instruments TI-30XA calculator’s scientific capabilities to solve complex mathematical problems quickly. Use this Quadratic Equation Solver to find the roots ($x_1, x_2$) for any second-degree polynomial of the form $ax^2 + bx + c = 0$.

calculator texas instruments ti-30xa: Quadratic Equation Solver

Enter A, B, and C and click ‘Calculate’ to see the results.
Calculation steps will appear here after clicking ‘Calculate’.

Quadratic Equation Formula:

$$x = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}$$

Formula Sources: Wikipedia | Khan Academy

Variables Explanation:

  • Coefficient A: The non-zero coefficient of the quadratic term ($x^2$).
  • Coefficient B: The coefficient of the linear term ($x$).
  • Coefficient C: The constant term.
  • $x_1, x_2$: The two roots (solutions) to the equation.

Related Calculators:

What is the calculator texas instruments ti-30xa?

The TI-30XA is one of Texas Instruments’ most popular and reliable scientific calculators, widely used in middle school, high school, and early college courses. It is known for its durability, ease of use, and ability to perform essential scientific calculations including logarithms, powers, roots, trigonometry, and, critically, complex arithmetic operations necessary to solve equations like the quadratic formula efficiently.

While the calculator does not have a dedicated ‘solve’ button for a quadratic equation, its functions (square root, squaring, basic arithmetic) allow users to input the formula step-by-step. This online solver automates that process, offering a quick check for homework or professional work, mimicking the power available through the TI-30XA’s functional layout.

How to Calculate a Quadratic Equation (Example):

Let’s solve the equation $x^2 + 5x + 6 = 0$. Here, $A=1$, $B=5$, and $C=6$.

  1. Calculate the Discriminant ($\Delta$): The discriminant is $\Delta = B^2 – 4AC$. $\Delta = 5^2 – 4(1)(6) = 25 – 24 = 1$.
  2. Find the Square Root: Calculate $\sqrt{\Delta} = \sqrt{1} = 1$.
  3. Calculate $x_1$ (using +): $x_1 = \frac{-B + \sqrt{\Delta}}{2A} = \frac{-5 + 1}{2(1)} = \frac{-4}{2} = -2$.
  4. Calculate $x_2$ (using -): $x_2 = \frac{-B – \sqrt{\Delta}}{2A} = \frac{-5 – 1}{2(1)} = \frac{-6}{2} = -3$.
  5. The roots are $x_1 = -2$ and $x_2 = -3$.

Frequently Asked Questions (FAQ):

What if the discriminant ($B^2 – 4AC$) is negative?

If the discriminant is negative, the quadratic equation has no real roots. The roots are complex numbers, involving the imaginary unit $i$ ($\sqrt{-1}$). This calculator handles complex results automatically.

Why do I need to enter three numbers?

A standard quadratic equation, $ax^2 + bx + c = 0$, is defined by three coefficients: A, B, and C. If A is zero, the equation becomes linear, not quadratic.

Can the TI-30XA display complex roots?

The standard TI-30XA does not natively compute or display complex roots; it will typically return an error when calculating the square root of a negative number. This online calculator provides the complex solution for you.

Is this calculator only for math students?

No. Quadratic equations are essential in physics (projectile motion), engineering (circuit analysis), finance (optimization), and many other fields.

V}

Leave a Comment