IF $open vertical bar table row straight x cell space space straight x end cell row 1 cell space space straight x end cell end table close vertical bar space equals space open vertical bar table row 3 cell space space space 4 end cell row 1 cell space space space 2 end cell end table close vertical bar$ , find the values of x.

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Solution

The space given space equation space is space space space space space space space open vertical bar table row straight x cell space space straight x end cell row 1 cell space space straight x end cell end table close vertical bar space equals space open vertical bar table row 3 cell space space 4 end cell row 1 cell space space 2 end cell end table close vertical bar or space space space space space space space space space space space space straight x squared space minus straight x equals 6 minus 4 space or space straight x squared space minus straight x space equals 2 therefore space space space space space straight x squared space minus straight x space minus 2 equals 0 therefore space space space space space space space space straight x squared space minus 2 straight x space plus straight x minus 2 equals 0 space space space space space space space space space space space space space space space or space space straight x left parenthesis straight x minus 2 right parenthesis plus 1 left parenthesis straight x minus 2 right parenthesis equals 0 therefore space space space space space space space space space left parenthesis straight x minus 2 right parenthesis space space left parenthesis straight x plus 1 right parenthesis space equals 0 therefore space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight x equals 2 comma negative 1 space space space space space space space space space space

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