Answer: " x = 98.742 " .
______________________________________________
or, write as: " x = 500 √39 " .
_______________________________________________
Step-by-step explanation:
_______________________________________________
To solve for "x" ;
we "cross-multiply" ; as follows.
________________________________________________
Given:
[tex]\frac{x}{50} = \frac{195}{x}[/tex] ;
→ x * x = 50 * 195 ;
→ Solve for "x" ;
x² = 50 * 195 ;
x² = 9750
Take the "positive square root" of each side of the equation;
to isolate "x" on one side of the equation;
and to solve for the "positive" value for "x" ;
⁺√(x²) = ⁺√(9750) ;
x = 98.7420882907 ; → round to: 98.742 ;
x = 98.742 .
________________________________________________
Other method of solving for "x" ; and notation for value for "x" :
_______________________________________________
or: √9750 = ?
9750 factors into:
25 * 390 ;
→ 390 factors into:
100 * 39
________________________________________________
→ √(9750) = √25 * √100 * √39 ;
= 5 * 100 * √39 ;
= 500 * √39 ;
→ write as: " 500 √39 ".
________________________________________________
Answer: " x = 98.742 " ; or, write as: " x = 500 √39 " .
________________________________________________
Hope this helps! Let me know if this is correct
— or if there are any problems with this answer that need addressing
— by commenting below.
Best wishes to you in your academic endeavors
— and within the "Brainly" community!
________________________________________________
