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Matrices

Question
CBSEENMA12034239

Find space straight x space such space that space open square brackets table row cell 1 space space space straight x end cell 1 end table close square brackets space space open square brackets table row 1 3 2 row 2 5 1 row 15 3 2 end table close square brackets space space open square brackets table row 1 row 2 row straight x end table close square brackets space equals 0

Solution

open square brackets table row cell 1 space space space straight x end cell 1 end table close square brackets space space open square brackets table row 1 3 2 row 2 5 1 row 15 3 2 end table close square brackets space space open square brackets table row 1 row 2 row straight x end table close square brackets space equals 0
rightwards double arrow space open square brackets table row cell 1 plus 2 straight x plus 15 end cell cell 3 plus 5 straight x plus 3 end cell cell 2 plus straight x plus 2 end cell end table close square brackets space space open square brackets table row 1 row 2 row straight x end table close square brackets space equals 0
rightwards double arrow space open square brackets table row cell 2 straight x plus 16 end cell cell 5 straight x plus 6 end cell cell straight x plus 4 end cell end table close square brackets space space space open square brackets table row 1 row 2 row straight x end table close square brackets space equals 0
rightwards double arrow space open square brackets table row cell 2 straight x plus 16 plus 10 straight x plus 12 plus straight x squared plus 4 straight x end cell end table close square brackets equals space open square brackets table row 0 end table close square brackets space space space space space space space space space space space space rightwards double arrow space space open square brackets table row cell straight x to the power of 2 space end exponent plus 16 straight x plus 28 end cell end table close square brackets equals open square brackets table row 0 end table close square brackets space space
rightwards double arrow space straight x squared space plus 16 straight x space plus 28 equals 0 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 space space space space space space space space space space space space space space space space rightwards double arrow space left parenthesis straight x plus 2 right parenthesis space left parenthesis straight x plus 14 right parenthesis equals 0
rightwards double arrow space straight x equals negative 2 comma space minus 14 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

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