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MathNet 2016-part-05 — 184 problems (EN–VI) Question 87

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 87

Which quadratic equation has roots $1 - \sqrt{2}$ and $\frac{1}{\sqrt{2}-1}$?
(A) $x^2 + 2x - 1 = 0$ (B) $x^2 + \sqrt{2}x - 1 = 0$ (C) $x^2 + x - 1 = 0$
(D) $x^2 - 2x - 1 = 0$ (E) $x^2 - x + 2 = 0$