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Question

The sum of non-integeral roots of the equation x43x32x2+3x+1=0 is

A
3
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B
0
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C
3
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D
6
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Solution

The correct option is A 3
Divide the given equation by x2x23x2+3x+1x2=0
(x2+1x2)3(x1x)2=0
Now put x1x=y
(y2+2)3y2=0y23y=0y=0, 3
Case I:
x1x=0x=±1
Case II: x1x=3x=12(3±13)

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