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Question

If α,β are the roots of 3x22x+1=0, then the equation whose roots are α3,β3 is

A
27x2+6x1=0
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B
27x26x+1=0
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C
27x2+6x+1=0
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D
9x2+6x+1=0
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Solution

The correct option is C 27x2+6x+1=0
f(x)=3x22x+1
f(x)=0α,β are the roots.
The equation whose roots are α3,β3 is
f(3x)=0
3(3x)22(3x)+1=027x2+6x+1=0

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