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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: WAEC / JAMB / NECO Classroom Archive (Record #32425)