A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square. If you want to know how to master these three methods, just follow these steps.

Quadratic equations can be solved by factorising, completing the square and using a formula. In this section you will learn how to:

This animated video states that a quadratic is an expression featuring an unknown number which has been squared. Examples are used to show how to simplify quadratics by factorisation. Working with both positive and negative terms is shown. Plotting a quadratic equation on a graph is used to show why quadratics can have more than one value.

NOTE: Remember in, for example, (x + n) 2 the number of xs (called the coefficient of x) is 2 n . So the coefficient of x will be 6 in (x + 3) 2 .

with . Because it is a second-order polynomial equation , the fundamental theorem of algebra guarantees that it has two solutions. These solutions may be both real , or both complex .

Among his many other talents, Major General Stanley in Gilbert and Sullivan's operetta * the Pirates of Penzance* impresses the pirates with his knowledge of quadratic
equations in "The Major General's Song" as follows: "I am the very
model of a modern Major-General, I've information vegetable, animal, and mineral,
I know the kings of England, and I quote the fights historical, From Marathon to
Waterloo, in order categorical; I'm very well acquainted too with matters mathematical,
I understand equations, both the simple and quadratical, About binomial theorem I'm
teeming with a lot o' news-- With many cheerful facts about the square of the hypotenuse."

The first known solution of a quadratic equation is the one given in the Berlin papyrus from the Middle Kingdom (ca. 2160-1700 BC) in Egypt. This problem reduces to solving

A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square. If you want to know how to master these three methods, just follow these steps.

Quadratic equations can be solved by factorising, completing the square and using a formula. In this section you will learn how to:

This animated video states that a quadratic is an expression featuring an unknown number which has been squared. Examples are used to show how to simplify quadratics by factorisation. Working with both positive and negative terms is shown. Plotting a quadratic equation on a graph is used to show why quadratics can have more than one value.

NOTE: Remember in, for example, (x + n) 2 the number of xs (called the coefficient of x) is 2 n . So the coefficient of x will be 6 in (x + 3) 2 .

A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square. If you want to know how to master these three methods, just follow these steps.

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