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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: x + (x - 1 -x) =1
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shailesh_45 (63)

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x + (x - 1 -x) =1
    
lokeshsardana (675)

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I got x=0, 16/25............

m I correct?

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shailesh_45 (63)

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correct
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chetan_kp (239)

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the answer is x= 0 , 16 / 25
i will post solution if correct

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shailesh_45 (63)

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correct ans chetan
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nadeemoidu (1184)

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x=0 is not a solution.

when we r squaring an equation, we shd always subsitute the final answer and check.

here when we substitute, the 2nd term becomes root of ( -1) which is a complex no. So it shd be eliminated.

x= 16/25 is the only answer.
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chetan_kp (239)

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x - 1 = - (x - 1-x)
x + 1 - 2x = x - 1-x      (on squaring)
1 - 2x = - 1-x
1 + 4x - 4x = 1 - x            (on squaring)
5x = 4x
25x2 = 16x                     (on squaring)
x ( 25x - 16) = 0
x = 0 , 16/25
but as he pointed out x = 0 should be removed as it doesnt satisfy equation
 
 
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