The quadratic equation whose roots are 1 - \(\sqrt{13}\) and 1 + \(\sqrt{13}\) is
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
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
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