Question

$Solve space the space matrix space equation space open square brackets table row straight x 1 end table close square brackets space open square brackets table row 1 0 row cell negative 2 end cell cell negative 3 end cell end table close square brackets space open parentheses table row straight x row 5 end table close parentheses equals 0$

Solution

The given equation is
$open square brackets table row cell straight x space space end cell 1 end table close square brackets space space open square brackets table row 1 0 row cell negative 2 end cell cell negative 3 end cell end table close square brackets space open square brackets table row x row 5 end table close square brackets equals 0 or space space space space open square brackets table row cell straight x space space end cell 1 end table close square brackets space space open square brackets table row cell x plus end cell 0 row cell negative 2 x end cell cell negative 15 end cell end table close square brackets equals 0 or. space space space space space space space space space space open square brackets table row cell x squared minus end cell cell 2 x minus end cell 15 end table close square brackets equals open square brackets table row 0 end table close square brackets therefore space space x squared space minus 2 x minus 15 equals 0 therefore space space left parenthesis x plus 3 right parenthesis space left parenthesis x minus 5 right parenthesis equals 0 rightwards double arrow space space x equals negative 3 comma 5$

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