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})