# How to Solve a Quadratic Expression

A quadratic expression is a type of algebraic equation. It is rearranged into standard form. This article explains the process for solving a quadratic expression. After solving a quadratic expression, you can use the standard form to simplify it further. This will make it easier for you to solve similar expressions. However, if you have a difficult time solving a quadratic expression, you may want to seek the help of a professional to solve it. To find a quadratic expression, you must know the degree and the leading coefficient. It is the first term of a quadratic equation. In this case, the leading coefficient is equal to 2. A positive leading coefficient opens the parabola up. On the other hand, a negative leading coefficient opens it down. When you have these two variables, you can use the quadratic formula to solve a quadratic expression. A quadratic expression has the highest power of 2. The standard form of a quadratic expression in variable x is ax2+bx+c. However, some quadratic expressions are not written in this way. In these cases, the term "quadratic" will refer to an expression that does not have two powers. A quadratic expression is often written in terms of x, y, z, or w. The letters at the end of an alphabet are constants. If you have a quadratic equation that has one unknown, it is called a univariate quadratic equation. It contains non-negative integer powers of x. A quadratic equation with real coefficients has two solutions and two roots, one real and one complex. The roots can be distinct or real. So, the solution to a quadratic equation can be either a quadratic or a cubic expression. The ancient Babylonians, Egyptians, and Greeks first solved a quadratic equation. The Greeks, Arabs, and Indians refined the formula. Later, they added the concept of complex numbers, and quadratic equations have been at the heart of mathematics. The formula for a quadratic equation is ax2+bx + c. For the sake of convenience, we'll refer to it as a quadratic equation. 