Answer:
Quadratic equations are algebraic equations of the form:
ax^2 + bx + c = 0,
where "a," "b," and "c" are constants, and "x" is the variable. The highest power of the variable in a quadratic equation is 2 (hence the name "quadratic").
Explanation:
Quadratic equations generally have two solutions, known as roots or solutions. These solutions can be real or complex numbers. The solutions can be found using various methods such as factoring, completing the square, or by applying the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a).
The discriminant, which is the expression inside the square root (b^2 - 4ac), determines the nature of the solutions. If the discriminant is positive, there are two distinct real solutions. If it is zero, there is one real solution (often referred to as a repeated root or a perfect square trinomial). If the discriminant is negative, there are two complex solutions (conjugate pairs) involving the imaginary unit, "i."