Question

$\sqrt{1-\frac{x}{169}}=\frac{12}{13}$ find x.

Answer 1

We have,

$\sqrt{1-\frac{x}{169}}=\frac{12}{13}$

On squaring both sides, we get

${\left(\sqrt{1-\frac{x}{169}}\right)}^2={\left(\frac{12}{13}\right)}^2$

$1-\frac{x}{169}=\frac{144}{169}$

$\frac{169-x}{169}=\frac{144}{169}$

$169-x=144$

$x=25$

Hence, this is the answer.