1.

Let α,β be the roots of the equation ax2+bx+c=0. Let Sn=αn+βn for n≥1 and Δ=∣∣∣∣31+S11+S21+S11+S21+S31+S21+S31+S4∣∣∣∣.If a,b,c are rational and one of the roots of the equation is 1+√2, then the value of Δ is

Answer»

Let α,β be the roots of the equation ax2+bx+c=0. Let Sn=αn+βn for n≥1 and Δ=∣∣
∣
∣
31+S11+S21+S11+S21+S31+S21+S31+S4∣∣
∣
∣
.If a,b,c are rational and one of the roots of the equation is 1+√2, then the value of Δ is



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