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Quadratic Formula
Solve quadratic equations
ax² + bx + c = 0
How It Works
In algebra, a quadratic equation is any polynomial equation of the second degree with the form ax² + bx + c = 0. The quadratic formula provides the solutions to this equation.
In algebra, a quadratic equation is any polynomial equation of the second degree with the form ax² + bx + c = 0, where x is an unknown, a is the quadratic coefficient, b is the linear coefficient, and c is the constant. A quadratic equation can be solved in multiple ways, including factoring, using the quadratic formula, completing the square, or graphing.
The quadratic formula is derived by completing the square. The ± in the formula exists as a function of computing a square root, making both positive and negative roots solutions. The x values found through the quadratic formula are roots that represent where the parabola crosses the x-axis. The quadratic formula also provides the axis of symmetry of the parabola.
Results
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Quick Tips
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