Question

If $\sqrt{1+\frac{x}{289}}=1\frac{1}{17}$ then $x=$

• A. $1$
• B. $13$
• C. $35$
• D. $15$

Answer 1

Answer: (C)

$35$

We have,

$\sqrt{1+\frac{x}{289}}=1\frac{1}{17}$

$\sqrt{\frac{289+x}{289}}=\frac{18}{17}$

On squaring both sides, we get

${\left(\sqrt{\frac{289+x}{289}}\right)}^2={\left(\frac{18}{17}\right)}^2$

$\frac{289+x}{289}=\frac{324}{289}$

$289+x=324$

$x=324-289$

$x=35$