Fifth 3871

What is the sum of the fifth root of 243?

Correct answer:

x =  0

Step-by-step explanation:

a=5243=3 b=2π/5=2 3.1416/51.2566 x1=a cos(0 b)=3 cos(0 1.2566)=3 x2=a cos(1 b)=3 cos(1 1.2566)0.9271 x3=a cos(2 b)=3 cos(2 1.2566)2.4271 x4=a cos(3 b)=3 cos(3 1.2566)2.4271 x5=a cos(4 b)=3 cos(4 1.2566)0.9271 x=x1+x2+x3+x4+x5=3+0.9271+(2.4271)+(2.4271)+0.9271=0

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