If s i n 2 x + 10 - x 2 = 9 - x 2 + 2 s i n 2 x + c o s 2 x , then x lies in

Question

If s i n 2 x + 10 - x 2 = 9 - x 2 + 2 s i n 2 x + c o s 2 x , then x lies in, - 8,8, - 3,3, - 17 , 17, - 21 , 21

MARKS App · Accepted Answer

s i n 2 x + 10 - x 2 = 9 - x 2 + s i n 2 x + s i n 2 x + c o s 2 x ⇒ s i n 2 x + 1 + 9 - x 2 = 9 - x 2 + s i n 2 x + 1 x + y + z = x + y + z , if x , y , z have the same sign ⇒ s i n 2 x 9 - x 2 ≥ 0 ⇒ 9 - x 2 ≥ 0 ⇒ x ∈ - 3,3

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