Answer

Verified

406.2k+ views

Hint – In this question we have to find the additive inverse of given expression, an expression when added to a given expression is equal to 0. If A is an expression and if $\overline {\text{A}} $ is the additive inverse then${\text{A + }}\overline A = 0$. Use this concept to get the right answer.

Complete step-by-step answer:

Given equation is

$x + \dfrac{1}{x}$

Now we have to find out the additive inverse of this equation.

According to the property of additive inverse, addition of a term or expression to the given expression, such that their sum equals to zero.

Let A be such an expression.

Therefore according to the property of additive inverse the sum of A and the given expression must be zero.

$ \Rightarrow A + x + \dfrac{1}{x} = 0$

Now simplify the above equation we have,

$ \Rightarrow A = - x - \dfrac{1}{x}$

Hence the required additive inverse of the given expression is $ - x - \dfrac{1}{x}$.

So, this the required additive inverse.

Note – Whenever we face such type of problem the key concept involved is to have the basic understanding of additive inverse. The equation for additive inverse mentioned in the hint will help you get on the right track to reach the solution for these kinds of problems.

Complete step-by-step answer:

Given equation is

$x + \dfrac{1}{x}$

Now we have to find out the additive inverse of this equation.

According to the property of additive inverse, addition of a term or expression to the given expression, such that their sum equals to zero.

Let A be such an expression.

Therefore according to the property of additive inverse the sum of A and the given expression must be zero.

$ \Rightarrow A + x + \dfrac{1}{x} = 0$

Now simplify the above equation we have,

$ \Rightarrow A = - x - \dfrac{1}{x}$

Hence the required additive inverse of the given expression is $ - x - \dfrac{1}{x}$.

So, this the required additive inverse.

Note – Whenever we face such type of problem the key concept involved is to have the basic understanding of additive inverse. The equation for additive inverse mentioned in the hint will help you get on the right track to reach the solution for these kinds of problems.

Recently Updated Pages

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Explain why a There is no atmosphere on the moon b class 11 physics CBSE

Difference Between Plant Cell and Animal Cell

Can anyone list 10 advantages and disadvantages of friction

State and prove Bernoullis theorem class 11 physics CBSE

The ice floats on water because A solid have lesser class 9 chemistry CBSE

State Newtons formula for the velocity of sound in class 11 physics CBSE