x-2y=6
x=2y+6
x•2-4y•2=24
(2y+6)•2-4y•2=24
(2y+6)•2-8y=24
4y+12-8y=24
12-4y=24
-4y=12
y=-3
a=x+2y+(x+2y)•2+(x+2y)•3+(x+2y)•4
a=(2y+6)+2y+((2y+6)+2y)•2+((2y+6)+2y)•3+((2y+6)+2y)•4
a=(2(-3)+6)+2(-3)+((2(-3)+6)+2(-3))•2+((2(-3)+6)+2(-3))•3+((2(-3)+6)+2(-3))•4
a=(-6+6)-6+((-6+6)-6)•2+((-6+6)-6)•3+((-6+6)-6)•4
a=0-6-6•2-6•3-6•4
a=-6-12-18-24
a=-60
OR
x-2y=6
x=2y+6
[tex] x^{2} -4 y^{2} =24[/tex]
[tex](2y+6) ^{2} -4y^{2} =24[/tex]
Utilizați FOIL[tex](2y+6)(2y+6)=4y^{2}+12y+12y+36=4y^{2}+24y+36[/tex]
[tex]4y^{2}+24y+36-4y^{2}=24[/tex]
[tex]24y+36=24[/tex]
[tex]24y=-12[/tex]
[tex]y= -\frac{1}{2}[/tex]
[tex]a=x+2y+(x+2y)^{2}+(x+2y)^{3}+(x+2y)^{4}[/tex]
[tex]a=(2y+6)+2y+((2y+6)+2y)^{2}+((2y+6)+2y)^{3}+[/tex][tex]((2y+6)+2y)^{4}[/tex]
[tex]a=(2(-1/2)+6)+2(-1/2)+((2(-1/2)+6)+2(-1/2))^{2}+[/tex][tex]((2(-1/2)+6)+2(-1/2))^{3}+((2(-1/2)+6)+2(-1/2))^{4}[/tex]
[tex]a=(-1+6)-1+((-1+6)-1)^{2}+((-1+6)-1)^{3}+((-1+6)-1)^{4}[/tex]
[tex]a=5-1+(5-1)^{2}+(5-1)^{3}+(5-1)^{4}[/tex]
[tex]a=4+4^{2}+4^{3}+4^{4}[/tex]
[tex]a=4+16+64+256[/tex]
[tex]a=240[/tex]
