If _ x (1+ a x + b x^2 )^ 2 x =e^2 , then

Step-by-step solution

Since, _ x (1+ a x + b x^2 )^ 2 x =e^2 _ x (1+ a x+b x^2 )^ 2 x -e^2 ..(i) _ x a x+b x^2 must be equal to zero. aligned & _ x a x+b x^2 =0 & _ x ( a x + b x^2 )=0 & a and b 0 aligned From Eq. (i) aligned & e^ _ x 2(a x+b) x =e^2 & e^ 2 a =e^2 & a=1 and b R aligned