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If x2 +2x +2xy + my - 3 -0 has two rational factors then the values of m will be

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a
- 6, -2
b
- 6,2
c
6, -2
d
6,2

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detailed solution

Correct option is C

Given expression x2+2x+2xy+my3=0 can be rewritten as 
x2+2x(1+y)+(my3)=0
But factors are rational ,so discriminant b2 - 4ac is a perfect square.
Now, b24ac=4(1+y)2(my3)0
        4y2+1+2ymy+3    0        y2+2ymy+4    0

Now, taking (-) ve sign, we get m = 6

for +ve sign , we get m=-2

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