An equation is a

An

Here, there is a right hand side, a left hand side and an equal to sign in between. Furthermore, the variable x in this equation has the highest power of 2, thus the degree of the equation is 2.

A quadratic equation typically has two solutions, that is, we obtain two values for x after solving a quadratic equation. For example in the equation `x^2 = 25`, taking square root of both sides, we get `x = sqrt(25)`. Now we know that the square root of 25 is 5, but the extended concept of quadratics says that

It is to be noted that the two solutions of a quadratic equation can also be

The solutions of a quadratic equation have different names. They are also called

**statement**in mathematics, in which the left hand side is equal to the right hand side. All equations in mathematics have**variables**in them. An equation in which the variable has the highest**power**of 2 is called a quadratic equation in mathematics.Thus, we can define quadratic equation as an equation that has a degree of 2.A quadratic equation is differentiated from other equations by means of the

**degree**. The degree of an equation is the highest exponent on any variable present in that equation. Sometimes you have to simplify a given mathematical equation before concluding wether it is quadratic or not.An

**example**of a quadratic equation is `x^2 = 25`.Here, there is a right hand side, a left hand side and an equal to sign in between. Furthermore, the variable x in this equation has the highest power of 2, thus the degree of the equation is 2.

A quadratic equation typically has two solutions, that is, we obtain two values for x after solving a quadratic equation. For example in the equation `x^2 = 25`, taking square root of both sides, we get `x = sqrt(25)`. Now we know that the square root of 25 is 5, but the extended concept of quadratics says that

**even if we multiply -5 with -5, we will get 25**, and thus -5 is also a square root of 25. Thus there are**two**solutions for the above quadratic equation: one is 5, and the other is -5.It is to be noted that the two solutions of a quadratic equation can also be

**equal**. For example, the solutions of the quadratic equation `x^2 - 4x + 4 = 0` are both `x = 2`. Then also it is said that the quadratic equation has two solutions, although equal.The solutions of a quadratic equation have different names. They are also called

*roots*,*zeroes*and*x-intercepts.*
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