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Determinants

Question
CBSEENMA12034325

Find space values space of space straight x space if
open vertical bar table row 2 cell space space space 3 end cell row 4 cell space space space 5 end cell end table close vertical bar space equals space open vertical bar table row straight x cell space 3 end cell row cell 2 straight x end cell cell space 5 end cell end table close vertical bar

Solution
The space given space equation space is space
Find space values space of space straight x space if
open vertical bar table row 2 cell space space space 3 end cell row 4 cell space space space 5 end cell end table close vertical bar space equals space open vertical bar table row straight x cell space 3 end cell row cell 2 straight x end cell cell space 5 end cell end table close vertical bar
or space space 10 minus 12 equals 5 space straight x minus 6 straight x
therefore space space space space minus 2 equals negative straight x space space space space space space space rightwards double arrow space space straight x equals 2

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