Understanding Quadratic Equations
A quadratic equation is a second-degree polynomial equation in a single variable x with a non-zero coefficient for x². It is expressed in the form ax² + bx + c = 0, where x represents the variable, and a, b, and c are constants with a not equal to zero.
Quadratic equations can be solved using several methods:
- Factoring
- Using the quadratic formula:
x = (-b ± √(b²-4ac)) / (2a) - Completing the square
- Graphing
Quadratic equations are vital in various fields such as physics, engineering, and finance. They are used in calculating trajectories, optimizing solutions, and modeling financial markets.
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