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    Maths-
    General
    Easy

    Question

    If open vertical bar table row cell x plus 1 end cell 3 5 row 2 cell x plus 2 end cell 5 row 2 3 cell x plus 4 end cell end table close vertical bar equals 0, then x =

    1. 1, 9    
    2. – 1, 9    
    3. – 1, – 9    
    4. 1, – 9    

    The correct answer is: 1, – 9

      By C subscript 1 end subscript rightwards arrow C subscript 1 end subscript plus C subscript 2 end subscript plus C subscript 3 end subscript,
      we have left parenthesis 9 plus x right parenthesis open vertical bar table row 1 3 5 row 1 cell x plus 2 end cell 5 row 1 3 cell x plus 4 end cell end table close vertical bar = 0
      rightwards double arrow left parenthesis x plus 9 right parenthesis open vertical bar table row 0 cell 1 minus x end cell 0 row 0 cell negative left parenthesis 1 minus x right parenthesis end cell cell 1 minus x end cell row 1 3 cell x plus 4 end cell end table close vertical bar equals 0
      rightwards double arrow left parenthesis x plus 9 right parenthesis left parenthesis 1 minus x right parenthesis to the power of 2 end exponent open vertical bar table row 0 1 0 row 0 cell negative 1 end cell 1 row 1 3 cell x plus 4 end cell end table close vertical bar equals 0
      rightwards double arrow x equals 11 comma negative 9, (Since the determinant = 1)

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