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CBSE Class 11-science Answered

solve for x if |x|+x=2+i
Asked by nikita19malhotra | 02 Mar, 2017, 07:46: PM
answered-by-expert Expert Answer

begin mathsize 16px style open vertical bar straight x close vertical bar plus straight x equals 2 plus straight i Case space 1 colon space For space straight x greater than 0 comma space we space get rightwards double arrow straight x plus straight x equals 2 plus straight i rightwards double arrow 2 straight x equals 2 plus straight i rightwards double arrow straight x equals fraction numerator 2 plus straight i over denominator 2 end fraction Case space 2 colon space For space straight x less than 0 comma rightwards double arrow negative straight x plus straight x equals 2 plus straight i This space is space absurd. So comma space as space per space case space 1 comma space straight x equals fraction numerator 2 plus straight i over denominator 2 end fraction space which space is space straight a space complex space solution. end style

Answered by | 03 Mar, 2017, 05:49: PM

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