Chapter 1
Chapter 1 Basic Math
Course: Ged Test Prep
Subject: Mathematics
Chapter: Chapter 3 Basic Algebra
Quadratic equations with one variable
Quadratic equations are polynomial equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. These equations have a degree of 2 and typically have solutions that involve square roots.
The solutions to a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. The "±" in the formula represents the two possible solutions.
Quadratic equations can have real or complex solutions, with the number of solutions determined by the discriminant (b^2 - 4ac). If the discriminant is positive, there are two real solutions; if it is zero, there is one real solution (a repeated root); and if it is negative, there are two complex solutions.
Quadratic equations can be graphed as parabolas on a coordinate plane, with the vertex of the parabola representing the maximum or minimum point of the quadratic function.