How do you simplify $x / 3 - 2 / 3 = 1 / x$ ?

Question

1684 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-11T03:30:08

$color(green)(x = 3, -1$

$x/3 - 2/3 = 1/x$

$(x-2) / 3 = 1/x " taking 3 as L C M for L H S"$

$(x - 2) * x = 3 * 1, " cross multiplying"$

$x^2 - 2x = 3, " removing bracket"$

$x^2 - 2x - 3 = 0$

$x^2 + x - 3x - 3 = 0$

$x (x + 1) - 3 (x + 1) = 0$

$(x-3) * (x + 1) = 0$

$color(green)(x = 3, -1$

How do you simplify x / 3 - 2 / 3 = 1 / xx / 3 - 2 / 3 = 1 / x?