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Beyond Horizon Set 3 Paper 1 · Q14

Paper 1Algebra

If α\alpha and β\beta are roots of the equation x2+5x−5=0x^2+5x-5=0, then (1α+1)3+(1β+1)3\left(\dfrac{1}{\alpha+1}\right)^3+\left(\dfrac{1}{\beta+1}\right)^3 equals

A−322-322
B427\frac4{27}
C−427-\frac4{27}
D3+53+\sqrt5
E4+54+\sqrt5
F5+25+\sqrt2

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