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W(2)=2³+2(3a-1)*(2)²+(a²-4a)*2+2a²=16
8+8*(3a-1)+2a²-8a+2a²=16
8+24a-8+2a²-8a+2a²=16
4a²+16a-16=0/4
a²+4a-4=0
Δ=(4)²-4*(-4)=16+16=32
√Δ=4√2
a1=(-4+4√2)/2=-2+2√2
a2=-2-2√2
W(2)=2³+2(3a-1)*(2)²+(a²-4a)*2+2a²=16
8+8*(3a-1)+2a²-8a+2a²=16
8+24a-8+2a²-8a+2a²=16
4a²+16a-16=0/4
a²+4a-4=0
Δ=(4)²-4*(-4)=16+16=32
√Δ=4√2
2 rozwiazania:
a1=(-4+4√2)/2=-2+2√2
a2=-2-2√2