Question

State true or false:

If $x=\frac{1}{6x-1}$, then $x$ is $\frac{1}{2}or-\frac{1}{3}$

• A. True
• B. False

Answer 1

The correct option is A True

$x=\frac{1}{6x-1}$
$6x^2-x=1$
$6x^2-x-1=0$
$6x^2-3x+2x-1=0$
$(3x+1)(2x-1)=0$
$x=\frac{-1}{3},\frac{1}{2}$