The equation whose roots are also the roots of the equation 1 - 3 1 1 6 4 1 3 x x 2 = 0 is

The equation whose roots are also the roots of the equation 1-3116413xx2=0 is
  1. x2+x+2=0
  2. x2+x−2=0
  3. x2+2x+2=0
  4. x2−x−2=0

Solution

Given equation is 1-3116413xx2=0

⇒6x2-12x+3x2-4+3x-6=0

⇒6x2-12x+3x2-12+3x-6=0

⇒9x2-9x-18=0

⇒9x2-x-2=0

Hence, the required equation is x2-x-2=0

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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