solve the following equation for X 
            a+x   a-x   a-x
            a-x    a+x  a-x    =0
            a-x   a-x    a+x
 
 

Asked by science field | 9th May, 2015, 04:16: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space d e t e r m i n a n t triangle equals open vertical bar table row cell a plus x end cell cell a minus x end cell cell a minus x end cell row cell a minus x end cell cell a plus x end cell cell a minus x end cell row cell a minus x end cell cell a minus x end cell cell a plus x end cell end table close vertical bar A p p l y i n g space C subscript 1 rightwards arrow C subscript 1 plus C subscript 2 plus C subscript 3 comma space w e space g e t comma triangle equals open vertical bar table row cell a plus x plus a minus x plus a minus x end cell cell a minus x end cell cell a minus x end cell row cell a minus x plus a plus x plus a minus x end cell cell a plus x end cell cell a minus x end cell row cell a minus x plus a minus x plus a plus x end cell cell a minus x end cell cell a plus x end cell end table close vertical bar rightwards double arrow triangle equals open vertical bar table row cell 3 a minus x end cell cell a minus x end cell cell a minus x end cell row cell 3 a minus x end cell cell a plus x end cell cell a minus x end cell row cell 3 a minus x end cell cell a minus x end cell cell a plus x end cell end table close vertical bar T a k i n g space c o m m o n space 3 a minus x space f r o m space C subscript 1 comma space w e space h a v e comma triangle equals open parentheses 3 a minus x close parentheses open vertical bar table row 1 cell a minus x end cell cell a minus x end cell row 1 cell a plus x end cell cell a minus x end cell row 1 cell a minus x end cell cell a plus x end cell end table close vertical bar A p p l y i n g space R subscript 2 rightwards arrow R subscript 2 minus R subscript 1 space a n d space R subscript 3 rightwards arrow R subscript 3 minus R subscript 1 comma space w e space g e t comma triangle equals open parentheses 3 a minus x close parentheses open vertical bar table row 1 cell a minus x end cell cell a minus x end cell row 0 cell 2 x end cell 0 row 0 0 cell 2 x end cell end table close vertical bar rightwards double arrow triangle equals open parentheses 3 a minus x close parentheses cross times 1 cross times open vertical bar table row cell 2 x end cell 0 row 0 cell 2 x end cell end table close vertical bar rightwards double arrow triangle equals open parentheses 3 a minus x close parentheses cross times 1 cross times 4 x squared T h u s comma space triangle equals 0 space rightwards double arrow open parentheses 3 a minus x close parentheses cross times 1 cross times 4 x squared equals 0 rightwards double arrow x equals 0 comma 3 a

Answered by Vimala Ramamurthy | 11th May, 2015, 09:55: AM