1.

Which of the following is not the root of the equation `|x-6-1 2-3xx-3-3 2xx+2|=0?``2`b. `0`c. `1`d. `-3`A. 2B. 0C. 1D. -3

Answer» Correct Answer - B
Operation `R_(1) to R_(1)-R_(2)` gives
`Delta =|{:(x-2,,3(x-2),,-(x-2)),(2,,-3x,,x-3),(-3,,2x,,x+2):}|`
`=(x-2)|{:(1,,3,,-1),(2,,-3x,,x-3),(-3,,2x,,x+2):}|`
`=(x-2) |{:(1,,3,,-1),(0,,-3(x+2),,x-1),(0,,2x+9,,x-1):}|" " underset(R_(3) to R_(3) +3R_(1)]([R_(2) to R_(2) -2R_(1)]]`
`=(x-2){-(3x+6)(x-1)-(x-1)(2x+9)}`
`=-(x-2)(x-1) (5x+15)`
Therefore `Delta =0 " gives " x=2 ,1,=3`


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