Make x the subject of the relation d = \(\sqrt{\frac{6}{x} - \frac{y}{2}}\)
A
x = \(\frac{6 + 12}{d^2 + y}\)
B
x = \(\frac{12}{d^2 - y}\)
C
x = \(\frac{12}{y} - 2d^2\)
D
x = \(\frac{12}{2d^2 + y}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
d = \(\sqrt{\frac{6}{x} - \frac{y}{2}}\)
\(d^2 = \frac{6}{x} - \frac{y}{2}\)
\(2xd^2 = 12 - xy\)
\(2xd^2 + xy = 12\)
x = \(\frac{12}{2d^2 + y}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #50125)