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Make x the subject of the relation d = (sqrt{frac{6}{x} – frac{y}{2}})

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 Answer: Option A
Explanation

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})