Question

If $\frac{37}{4\sqrt{j}-19}=\frac{37}{17}$, then find the value of $j$.

• A. $64$
• B. $72.25$
• C. $81$
• D. $90.25$

Answer 1

The correct option is C $81$

Given, $\frac{37}{(4\sqrt{j}-19)}=37/17$

Since the numerators are equal, we can equate the denominators.

$\Rightarrow (4\sqrt{j}-19)=17$

$\Rightarrow 4\sqrt{j}=36$

$\Rightarrow \sqrt{j}=9$

So, $j=81$

Hence, option C is correct.