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Gresty Academy Paper 1 · Q15

Paper 1Algebra

If x>0x>0 and

22x2=1+22\sqrt2x^2=1+\sqrt2

then x=x=

Acos⁡(π12)\cos\left(\frac\pi{12}\right)
Bcos⁡(π10)\cos\left(\frac\pi{10}\right)
Ccos⁡(π8)\cos\left(\frac\pi8\right)
Dcos⁡(π6)\cos\left(\frac\pi6\right)
Ecos⁡(π5)\cos\left(\frac\pi5\right)

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