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x-1=√2+√5 /()²
Podnosimy stronami do potegi 2.
x²-2x+1=2+2√10+5
x²-2x+1-7=2√10
x²-2x-6=2√10
x²-(2x+6)=2√10 /()²
Jeszcze raz:
x⁴-2x²(2x+6)+(2x+6)²=4*10
x⁴-4x³-12x²+4x²+24x+36-40=0
Odp. W(x)=x⁴-4x³-8x²+24x-4