COMEDK2013MathematicsTrigonometric Ratios & Identities

If x+ ² x=1 , then ¹² x+3 ¹⁰ x+3 ⁸ x+ ⁶ x is equal to

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Correct answer

A. 1

Step-by-step solution

We have, array ll & x+ ² x=1 & x=1- ² x & x= ² x Now, ¹² x & +3 ¹⁰ x+3 ⁸ x+ ⁶ x & = ⁶ x+3 ⁵ x+3 ⁴ x+ ³ x & = ³ x [ ³ x+3 ² x+3 x+1 ] & = ³ x( x+1)³ & = ( ² x+ x )³ & =(1)³=1 array

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