Question

$\huge \mathfrak \blue{question}$
MATH
if you know then solve
;)​

Answer 1

$\huge \color{purple} \mathcal{ \colorbox{orange}{\colorbox{white}{Solution}}}$

${\sf\bold{\frac{52}{x} = \sqrt{ \frac{169}{283} } }}$

$\large\blue{\sf{Here ~√169~ =~ 13 ~and ~√289 ~= ~17}}$

${\sf\bold{So~we~can~say}}$

${\sf\bold{ \frac{52}{x} = \frac{13}{17} }}$

${\sf\bold{ \frac{1}{x} = \frac{13}{17} \times \frac{1}{52} }}$

${\sf\bold{x~=~17~×~4}}$

$\red{\sf\bold{x~=~68}}$

Answer 2

Step-by-step explanation:

Given :

$\rightarrowtail \bold{\dfrac{52}{x}=\sqrt{\dfrac{169}{289} }}$

To find :

$\rightarrowtail \bold{Value\;of\;x.}$

Solution :

$\mapsto \bold{\dfrac{52}{x}=\sqrt{\dfrac{169}{289} }}$

$\mapsto \bold{\dfrac{52}{x}=\dfrac{\sqrt{169} }{\sqrt{289} } }$

$\mapsto \bold{\dfrac{52}{x}=\dfrac{13}{17} }$

$\mapsto \bold{52\times17=13\times x}$

$\mapsto \bold{884=13x}$

$\mapsto \bold{x=\dfrac{884}{13} }$

$\nrightarrow \bold{x=68}$

Verification ;

$\mapsto \bold{\dfrac{52}{x}=\sqrt{\dfrac{169}{289} }}$

$\dashrightarrow \bold{\dfrac{52}{68}=\dfrac{13}{17} }$

$\dashrightarrow \bold{0.76=0.76}$

$\nrightarrow \bold{L.H.S = R.H.S}$