Home » Find the value of x such that the expression (frac{1}{x}+frac{4}{3x}-frac{5}{6x}+1) equals zero

Find the value of x such that the expression (frac{1}{x}+frac{4}{3x}-frac{5}{6x}+1) equals zero

Find the value of x such that the expression (frac{1}{x}+frac{4}{3x}-frac{5}{6x}+1) equals zero

  • A.
    (frac{1}{6})
  • B.
    (frac{1}{4})
  • C.
    (frac{-3}{2})
  • D.
    (frac{-7}{6})
Correct Answer: Option C
Explanation

(frac{1}{x} + frac{4}{3x} – frac{5}{6x} + 1 = 0)

(frac{6 + 8 – 5 + 6x}{6x} = 0)

(frac{9 + 6x}{6x} = 0 implies 9 + 6x = 0)

(6x = -9 implies x = frac{-3}{2})