Home » The quadratic equation whose roots are 1 – (sqrt{13}) and 1 + (sqrt{13}) is

The quadratic equation whose roots are 1 – (sqrt{13}) and 1 + (sqrt{13}) is

The quadratic equation whose roots are 1 – (sqrt{13}) and 1 + (sqrt{13}) is

  • A.
    x2 + (1 – (sqrt{13})x + 1 + (sqrt{13}) = 0
  • B.
    x2 – 2x – 12 = 0
  • C.
    x2 – 2x + 12 = 0
  • D.
    x2 + 12 + 2x2 = 0
Correct Answer: Option C
Explanation

1 – (sqrt{13}) and 1 + (sqrt{13})

sum of roots – (1 + sqrt{13} + 1 – sqrt{13} = 2)
Product of roots = (1 – (sqrt{13})) (1 + (sqrt{13})) = -12
x2 – (sum of roots) x + (product of roots) = 0
x2 – 2x + 12 = 0