If y = (frac{y(2sqrt{x^2 + m})}{3N}), make x the subject of the formular
-
A.
(frac{sqrt{9y^2 N^2 – 2m}}{3}) -
B.
(frac{sqrt{9y^2 N^2 – 4m}}{2}) -
C.
(frac{sqrt{9y^2 N^2 – 3m}}{2}) -
D.
(frac{sqrt{9y^2 N – 3m}}{2})
Correct Answer: Option B
Explanation
y = (frac{y(2sqrt{x^2 + m})}{3N})
3yN = 2((sqrt{x^2 + m}))
(frac{3yN}{2} = sqrt{x^2 + m})
((frac{3yN}{2})^2 = ( sqrt{x^2 + m}))
(sqrt{frac{9y^2N^2}{4} – frac{m}{1}})
x = (frac{sqrt{9Y^2N^2 – 4m}}{4})
x = (frac{sqrt{9y^2N^2 – 4m}}{2})