Find values of x for which $open vertical bar table row 3 cell space space space straight x end cell row straight x cell space space 1 end cell end table close vertical bar space equals space open vertical bar table row 3 cell space space 2 end cell row 4 cell space space 1 end cell end table close vertical bar$

Solution

The given equation is
$open vertical bar table row cell 3 space end cell cell space space straight x end cell row straight x cell space 1 end cell end table close vertical bar space equals space open vertical bar table row 3 cell space space space 2 end cell row 4 cell space space space 1 end cell end table close vertical bar therefore space space space 3 minus x squared space equals space 3 minus 8 space space rightwards double arrow space 3 minus x squared space equals space minus 5 space space space rightwards double arrow space x squared space equals 8 therefore space space space space space space space space space space space x space equals space plus-or-minus space 2 space square root of 2$

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