Find values of x for which abs((3,x),(x,...

Find values of `x` for which `abs((3,x),(x,1))=abs((3,2),(4,1))`

A

`x=+- 2sqrt2`

B

`x=+- 2sqrt3`

C

`x=+- 5sqrt2`

D

`x=+- 2sqrt7`

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The correct Answer is:

A

`|[3,x],[x,1]| = |[3,2],[4,1]|`
`=>3(1)-x(x) = 3(1)-4(2)`
`=>3-x^2 = 3-8`
`=>x^2 = 8`
`=> x=+- 2sqrt2`

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