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Q:

If α and β are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${α^3}\over{β^2}$$ and $${β^3}\over{α^2}$$.

  • 1
    $$ {x^2-4x+8=0}$$
  • 2
    $$ {x^2-32x+4=0}$$
  • 3
    $$ {x^2-2x+4=0}$$
  • 4
    $$ {x^2-16x+4=0}$$
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Answer : 3. "$$ {x^2-2x+4=0}$$"

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