Answer
Verified
478.8k+ views
Hint: Take LHS = 98x and RHS = 2. Take 2 to LHS, it becomes an algebraic expression. Simplify the expression received and solve the entity to obtain the value of x.
Complete step-by-step answer:
An algebraic expression is an expression built up from integers, constants, variables and exponentiation by an exponentiation by an exponent that is a rational number.
Given is the expression,
\[98x=2\]
Taking 2 to the LHS, we get
\[98x-2=0\]
Taking 2 common on LHS,
\[2\left( 49x-1 \right)=0\]
\[\therefore \] We get \[49x-1=0\]
\[\begin{align}
& \therefore 49x=1 \\
& x=\dfrac{1}{49} \\
\end{align}\]
Hence, we got the value of x as \[\dfrac{1}{49}\].
Note:
The expression can be solved directly.
Take 98 to the denominator of RHS. 98 is a multiple of 2. So 98 has a common factor. So 98 can be written as \[2\times 49\], which is equal to 98.
\[\begin{align}
& \therefore 98x=2 \\
& \Rightarrow x=\dfrac{2}{98}=\dfrac{2}{2\times 49} \\
\end{align}\]
Cancel out 2 on the numerator and denominator.
\[\therefore x=\dfrac{1}{49}\].
Complete step-by-step answer:
An algebraic expression is an expression built up from integers, constants, variables and exponentiation by an exponentiation by an exponent that is a rational number.
Given is the expression,
\[98x=2\]
Taking 2 to the LHS, we get
\[98x-2=0\]
Taking 2 common on LHS,
\[2\left( 49x-1 \right)=0\]
\[\therefore \] We get \[49x-1=0\]
\[\begin{align}
& \therefore 49x=1 \\
& x=\dfrac{1}{49} \\
\end{align}\]
Hence, we got the value of x as \[\dfrac{1}{49}\].
Note:
The expression can be solved directly.
Take 98 to the denominator of RHS. 98 is a multiple of 2. So 98 has a common factor. So 98 can be written as \[2\times 49\], which is equal to 98.
\[\begin{align}
& \therefore 98x=2 \\
& \Rightarrow x=\dfrac{2}{98}=\dfrac{2}{2\times 49} \\
\end{align}\]
Cancel out 2 on the numerator and denominator.
\[\therefore x=\dfrac{1}{49}\].
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Change the following sentences into negative and interrogative class 10 english CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Application to your principal for the character ce class 8 english CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE