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Euclid Sample Paper 1 · Q20

Paper 1Algebra

For which values of kk does the equation

x6−12x4−kx3−12x2+1=0x^6-12x^4-kx^3-12x^2+1=0

have exactly four distinct real solutions?

A−22<k<22-22<k<22
B−105<k<105-10\sqrt5<k<10\sqrt5
C−22≤k≤22-22\leq k\leq22
D−22<k<22-22<k<22, or k=±105k=\pm10\sqrt5
E22<∣k∣<10522<|k|<10\sqrt5

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