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Gresty Academy Paper 1 · Q6

Paper 1Algebra

These three equations (with real coefficients)

x−1+2=0x2+px−1=0x3−5x2+5x+q=0\begin{aligned} x-1+\sqrt2&=0\\ x^2+px-1&=0\\ x^3-5x^2+5x+q&=0 \end{aligned}

share a root. So p+q=p+q=

A00
B11
C22
D33
E44

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