Question

If a and b are the roots of the equation 3x2 -6x +3 = 0, form an equation whose roots are

Answer 1

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x3+3x2+2=0

y=x3⟹x=3y∴ replace x with 3y in the  given question

⟹(3y)3+3(3y)2+2=0

⟹y+3y2+2=0

⟹3y2=−(y+2)

⟹y2=−(y+2)3[taking cubes on both sides to remove the radical sign]

⟹y2=−(y3+6y2+12y+8)

⟹y3−5y2−12y−8=0