pilnie potrzebne...!!!
oblicz: 3x+y, 2x-3y, x*y, x/y, y/x, x², y², jeżeli: x=2+3√5, y=3-2√5
3x+y=3(2+3√5)+3-2√5=6+9√5+3-2√5=9+7√5
2x-3y=2(2+3√5)-3(3-2√5)=4+6√5-9+6√5=-5+12√5
x*y=(2+3√5)(3-2√5)=6-4√5+9√5-6√25=6+5√5-6*5=-36+5√5
x/y=(2+3√5)/(3-2√5)=(2+3√5)*(3+2√5)/(3-2√5)*(3+2√5)=
=(6+4√5+9√5+6*5)/(9+6√5-6√5-4*5)=36+13√5/-11
x²=(2+3√5)(2+3√5)=4+6√5+6√5+9*5=49+12√5
y²=(3-2√5)(3-2√5)=9-6√5-6√5+4*5=29-12√5
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3x+y=3(2+3√5)+3-2√5=6+9√5+3-2√5=9+7√5
2x-3y=2(2+3√5)-3(3-2√5)=4+6√5-9+6√5=-5+12√5
x*y=(2+3√5)(3-2√5)=6-4√5+9√5-6√25=6+5√5-6*5=-36+5√5
x/y=(2+3√5)/(3-2√5)=(2+3√5)*(3+2√5)/(3-2√5)*(3+2√5)=
=(6+4√5+9√5+6*5)/(9+6√5-6√5-4*5)=36+13√5/-11
x²=(2+3√5)(2+3√5)=4+6√5+6√5+9*5=49+12√5
y²=(3-2√5)(3-2√5)=9-6√5-6√5+4*5=29-12√5