The velocity of a particle executing SHM varies with displacement ( x ) as 4 v^2=50-x^2. The time period of oscillations is x/7 s. The value of x is…

The velocity of a particle executing SHM varies with displacement ( $\displaystyle x$ ) as $\displaystyle 4 v^2=50-x^2$. The time period of oscillations is $\displaystyle \frac{x}{7} s$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$. $$\left(\text { Take } \pi=\frac{22}{7}\right) $$