Question

If x=0.3bar then find the x seqar

Answer 1

Since, x = $0.\overline{3}$

x = 0.333333...

Multiplying the above equation by 10, so we get

10x = 3.333....

10x = 3+ 0.3333....

10x = 3 + $0.\overline{3}$

10x = 3 + x

10x - x = 3

9x = 3

x = $\frac{3}{9}$

x = $\frac{1}{3}$

Therefore, x = $\frac{1}{3}$

But we have to calculate $x^2$.

$x^2 = (\frac{1}{3})^2= \frac{1}{9}$

Hence, the answer is $\frac{1}{9}$.