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MathNet 2016-part-05 — 184 problems (EN–VI) Question 59

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

Question 59

Which of the following quadratic equations has the solutions $1-\sqrt{2}$ 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) $x^{2}-x+2=0$