TI-84 Quadratic Solver
Solve equations in the form ax² + bx + c = 0
Solution (Roots)
How to Use the Quadratic Solver on a TI-84
The Texas Instruments TI-84 Plus series graphing calculator is a powerful tool for algebra students. One of its most frequently used features is the built-in Polynomial Root Finder and Simultaneous Equation Solver, which allows you to solve quadratic equations quickly without manual calculation.
Understanding the Quadratic Formula
This calculator tool utilizes the standard quadratic formula to find the roots (x-intercepts) of a parabola. The formula is defined as:
x = (-b ± √(b² – 4ac)) / 2a
Where a, b, and c are the coefficients from the equation ax² + bx + c = 0. The part of the formula under the square root (b² – 4ac) is called the discriminant.
Interpreting the Results
Depending on the values you input, the TI-84 will return different types of solutions:
- Two Real Roots: If the discriminant is positive, the parabola crosses the x-axis at two distinct points.
- One Real Root: If the discriminant is zero, the parabola touches the x-axis at exactly one point (the vertex).
- Complex Roots: If the discriminant is negative, the solutions involve imaginary numbers (indicated by "i"), meaning the parabola does not touch the x-axis.