If $$98x=2$$. Then find the value of x.

Question

Vedantu Content Team · Accepted Answer

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.
\[\therefore x=\dfrac{1}{49}\].

If \[98x=2\]. Then find the value of x.

NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links

If \[98x=2\]. Then find the value of x.

Book your FREE Online counselling session

Your FREE Online counselling session has been booked!

Please try again later

NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links