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Solve x^2-sqrt2ix+12 by factrisation met...

Solve `x^2-sqrt2ix+12` by factrisation method .

Text Solution

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`x^2-sqrt2ix+12=0`
`rArrx^2-3sqrt2ix+2sqrt2ix-12i^2=0`
`rArrx(x-3sqrt2i)+2sqrt2i(x-3sqrt2i)=0`
`rArr(x-3sqrt2i)(x+2sqrt2i)=0`
`rArrx-3sqrt2i=0` or `x+2sqrt2i=0`
`x=3sqrt2i`, or `x=2sqrt2i`.
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