The integral value(s) of 'a' for wh...
Question
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The integral value(s) of 'a' for which the roots of ax(x + 2) + a - (x + 2) = 0 are rational is given by 

(A) 2 

(B) 5 

(C) 12 

(D) 20

JEE/Engineering Exams
Maths
Solution
172
Rating
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The integral value(s) of 'a' for which the roots of ax(x + 2) + a - (x + 2) = 0 are rational is given by
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ax(x+2)+a-(x+2)=0 ax2+2ax+a-x-2=0 ax2+x(2a-1)+(a-2)=0 D=2a-12-4a(a-2) D=4a2+1-4a-4a2+8a D=4a+1 now for retionl root : dissrimiunt should be perfect square is D=4a+1 for a:2 ;    D=9=3       a=2 so opition (c)   

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