Q.
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
answer is C.
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Detailed Solution
Given expression x2+2x+2xy+my−3=0 can be rewritten as x2+2x(1+y)+(my−3)=0But factors are rational ,so discriminant b2 - 4ac is a perfect square.Now, b2−4ac=4(1+y)2−(my−3)≥0⇒ 4y2+1+2y−my+3 ≥0⇒ y2+2y−my+4 ≥0Now, taking (-) ve sign, we get m = 6for +ve sign , we get m=-2
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