Question

highest index of variable of quadratic equation is

Answer 1

In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form

{\displaystyle ax^{2}+bx+c=0} ax^2+bx+c=0

where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic. The numbers a, b, and c are the coefficients of the equation, and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.[1]

Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.

Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing. Solutions to problems equivalent to the quadratic equation were known as early as 2000 BC.

Answer 2

Answer:

highest index of variable of quadratic equation is 2.

Step-by-step explanation:

We know,

Equation of quadratic is$a {x}^{2} + bx + c = 0$

Where x is variable

So,it is clear that highest degree of a quadratic variable is 2.

Now, index means degree.

therefore,highest index of variable of quadratic equation is 2.

Know more about quadratic equation:

Quadratic equations are quadratic algebraic expressions and are of the form ax² + bx + c = 0. The word "quadratic" comes from the word "Quad" which means square. In other way,we can say that a quadratic equation is a "degree two equation". There are many scenarios where the quadratic equation is used. In addition, the quadratic equation has many applications in physics, engineering, astronomy, etc.

Quadratic equations are quadratic equations for x that have at most two solutions for x. These two responses to x are also called the roots of quadratic equations and denoted as (α, β).

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