Oblicz współczyniki liczbowe m i n wielomianu jeżeli
W(x)=mx4+nx²+5
W(√2)=5 W(√3)=8
W(x)=mx⁴+nx²+5
W(√2)=5
W(√3)=8
W(√2)=m(√2)⁴+n(√2)²+5
4m+2n+5=5
4m+2n=0
4m=-2n /:(-2)
n=-2m
W(√3)=m(√3)⁴+n(√3)²+5
9m+3n+5=8
9m+3n=3
9m+3*(-2m)=3
9m-6m=3
3m=3
m=1
n=-2
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W(x)=mx⁴+nx²+5
W(√2)=5
W(√3)=8
W(√2)=m(√2)⁴+n(√2)²+5
4m+2n+5=5
4m+2n=0
4m=-2n /:(-2)
n=-2m
W(√3)=m(√3)⁴+n(√3)²+5
9m+3n+5=8
9m+3n=3
n=-2m
9m+3*(-2m)=3
9m-6m=3
3m=3
m=1
n=-2