SOLUTION: If y varies inversely as the square of x and y=9 when x=2, write the equation of variation and find the value of x when y=4.

Algebra ->  Rational-functions -> SOLUTION: If y varies inversely as the square of x and y=9 when x=2, write the equation of variation and find the value of x when y=4.      Log On


   

Question 414294: If y varies inversely as the square of x and y=9 when x=2, write the equation of variation and find the value of x when y=4.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

If y varies inversely as the square of  x  OR y = k/x^2

y = 9  when x = 2        9 = k/4   k = 36

find  the value of x when y = 4

 y = 36/x^2

 4 = 36/x^2

 x^2 = 9

  x = ± 3