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Manipal MET2011MathematicsQuadratic Equation

If , are the roots of x^2-3 x+1=0 , then the equation whose roots are 1 -2 , 1 -2 , is

Options

  1. Ax^2+x+1=0
  2. Bx^2-x-1=0
  3. Cx^2+x-1=0
  4. DNone of these

Correct answer

B. x^2-x-1=0

Step-by-step solution

Since, and are the roots of x^2-3 x+1=0 , then + =3 and =1 Now, S= 1 -2 + 1 -2 aligned & = + -4 -2( + )+4 & = 3-4 1-2 3+4 =1 aligned and aligned P & = 1 -2 1 -2 & = 1 -2( + -2) & =1 aligned Required equation is aligned x^2-S x+P & =0 x^2-x-1 & =0 aligned

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