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x-1-3x-2-2-3x-2-x-1-3-Find-the-value-of-x-




Question Number 5765 by sanusihammed last updated on 26/May/16
(√((x−1)/(3x+2)))   +  2 ((√((3x+2)/(x−1))) )  =  3    Find the value of x
x13x+2+2(3x+2x1)=3Findthevalueofx
Commented by prakash jain last updated on 27/May/16
(√((x−1)/(3x+2)))=u  u+(2/u)=3  u^2 −3u+2=0  (u−2)(u−1)=0⇒u=2 or u=1  u=2⇒((x−1)/(3x+2))=4⇒x−1=12x+8⇒x=−(9/(11))  u=1⇒((x−1)/(3x+1))=1⇒x−1=3x+1⇒x=−1
x13x+2=uu+2u=3u23u+2=0(u2)(u1)=0u=2oru=1u=2x13x+2=4x1=12x+8x=911u=1x13x+1=1x1=3x+1x=1

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