AP EAMCET201726 Apr 2017Morning ShiftMathematicsQuadratic EquationActual

If is a non-real root of x^7=1 , then (1+ ) (1+ ^2+ ^4 )=

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Correct answer

C. -1

Step-by-step solution

We have given that is non-real root of x^7=1 ^7=1 and 1 Now, (1+ ) (1+ ^2+ ^4 ) aligned & = (1+ ^2+ ^4+ + ^3+ ^5 ) & = + ^3+ ^5+ ^2+ ^4+ ^6 & = + ^2+ ^3+ ^4+ ^5+ ^6 & = (1- ^6 ) 1- [ 1] & = - ^7 1- = -1 1- [ ^7=1 ] & (1+ ) (1+ ^2+ ^4 )=-1 aligned

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