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Multiple choice

Let a, $\beta $ are the roots of the equation ${ x }^{ 2 }-2x+3=0$ then the equation whose roots are $P={ 3a }^{ 2 }+5a-2$ and $Q={ \beta }^{ 3 }{ -\beta }^{ 2 }+\beta +5$ is _______________.

  1. ${ x }^{ 2 }+3x+2=0$
  2. ${ x }^{ 2 }-3x+2=0$
  3. ${ x }^{ 2 }-3x-2=0$
  4. $-{ x }^{ 2 }-3x+9=0$
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