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

A.
x^{2} + (1 – (sqrt{13})x + 1 + (sqrt{13}) = 0 
B.
x^{2} – 2x – 12 = 0 
C.
x^{2} – 2x + 12 = 0 
D.
x^{2} + 12 + 2x^{2} = 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