If 2 + x x x 2 x 2 + x x 2 x 2 x 2 + x = 1 6 x - a x - b x - c x - d be an identity in x where a , b , c , d are independent of x , then the value of 13 25 a b c d is

Question

If 2 + x x x 2 x 2 + x x 2 x 2 x 2 + x = 1 6 x - a x - b x - c x - d be an identity in x where a , b , c , d are independent of x , then the value of 13 25 a b c d is,

MARKS App · Accepted Answer

Since, the given equation is an identity in x , putting x = 0 , we get, 2 0 0 0 2 0 0 0 2 = 1 6 a b c d ⇒ a b c d = 48 ⇒ 13 25 a b c d = 13 × 48 25 = 24.96

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