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Make x the subject of the relation d sqrt frac ... - WAEC Mathematics 2017 Question

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 = \(\frac{12}{2d^2 - y}\)
correct option: a

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 = \(\frac{6 + 12}{d^2 + y}\)

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