QUADRATIC

the no. of values of triplet (a,b,c) 4 which
acos2x+bsin2x+c=0 is satisfied by all real x

1 Answers

1
ith_power ·

l.h.s.= a(cos2x)+(b-a)sin2x+c=0=a+c+(b-2a)sin2x for all x.
so, a+c=0. b-2a=0 so any triplet(a,2a,-a) satisfies..

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