Question

Find values of x, if

$open vertical bar table row 2 cell space space space 4 end cell row 5 cell space space 1 end cell end table close vertical bar space equals space open vertical bar table row cell 2 x end cell cell space space 4 end cell row 6 cell space space x end cell end table close vertical bar space space$

Solution

The given equation is
$space open vertical bar table row 2 cell space space space 4 end cell row 5 cell space space 1 end cell end table close vertical bar space equals space open vertical bar table row cell 2 straight x end cell cell space space 4 end cell row 6 cell space space straight x end cell end table close vertical bar space space$
or 2 - 20 = $2 straight x squared$ - 24
$therefore space 2 straight x squared space equals 6 space space space space space space rightwards double arrow space space straight x squared space equals 3 space space space space space space space space space rightwards double arrow space straight x equals space plus-or-minus space square root of 3$

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