((6-x))/x = 4/(x-1)

解

\frac{( 6 - x )}{x} = \frac{4}{x - 1}

x = \frac{3}{2} - i \frac{15}{2}, x = \frac{3}{2} + i \frac{15}{2}

解答ステップ

\frac{( 6 - x )}{x} = \frac{4}{x - 1}

たすき掛け

(6 - x) (x - 1) = x \cdot 4

解く

(6 - x) (x - 1) = x \cdot 4 : x = \frac{3}{2} - i \frac{15}{2}, x = \frac{3}{2} + i \frac{15}{2}

x = \frac{3}{2} - i \frac{15}{2}, x = \frac{3}{2} + i \frac{15}{2}