Question

how is x-4/5x=1/5x. Please tell.

Answer 1

Answer::

$x - \frac{ 4}{5x} = \frac{1}{5x}$

Now multiply x/1 by 5 make the numerators same to subtract

$\frac{x}{1} \times \frac{5}{5} - \frac{4}{5x} = \frac{1}{5x}$

$\frac{5 -4}{5x } = \frac{1}{5x}$

$\frac{1}{5x} = \frac{1}{5x}$

Answer 2

Answer:

The value of $x$ is ±$1$.  

Step-by-step explanation:

Given : $x-\frac{4}{5x} =\frac{1}{5x}$

To find : The value of $x$=?

Solution :

• The given expression is,

      $x-\frac{4}{5x} =\frac{1}{5x}$

• To find the value of $x$, we have to do cross multiplication.
• The equation is,

       $x-\frac{4}{5x} =\frac{1}{5x}$    

• By cross multiplication, we get

       $\frac{x*5x-4*1}{5x} = \frac{1}{5x}$

      ∴ $\frac{5x^{2} -4}{5x} =\frac{1}{5x}$

• Transpose $5x$ to other side, we get

          ∴ $5x^{2} -4=\frac{5x}{5x}$

          ∴ $5x^{2} -4=1$

• Transpose $-4$ to other side, we get

            ∴ $5x^{2} =1+4$

               ∴ $5x^{2} =5$  

                 ∴ $x^{2} =\frac{5}{5}$

                 ∴ $x^{2} =1$

• Taking square roots of both the sides, we get

                 ∴ $x=$ ±$1$

• ∴ The value of $x$ is ±$1$.