Absolute (Modulus) Equations (Leaving Cert Mathematics): Flashcards

Magnitude of a number; distance from origin

Always positive

$x$

$-x$

$3$

$3$

$d = \pm 5$

Set $d = \pm 5$ (both positive and negative)

Square both sides

Squaring always gives positive value

$x = 1$ and $x = \frac{1}{3}$

Set $2x-1 = \pm x$ and solve both cases