Question

* find positive intergers a and b such that

Answer 1

\[\huge (\sqrt[3]{a}+\sqrt[3]{b}-1)^2=49+20\sqrt[3]{6}\]

Answer 2

square out the left hand side and equate like parts.
you should get a system of equations which you can solve

Answer 3

*

Answer 4

?

Answer 5

not working

Answer 6

k, just a sec...

Answer 7

\[\text{\let} ...x^3=a,y^3=b\]
\[(x+y-1)^2=x^2+y^2+1+2(xy-x-y)=49+20\sqrt[3]{6}\]

Answer 8

how did you type text in the equation editor?

Answer 9

i said
\text{}
and put inside the bracects

Answer 10

ty

Answer 11

\[\text{thank you}\]

Answer 12

lol yeah it works and you can colour it green or red or something
\color{green}{}

Answer 13

sorry

Answer 14

\[\color{green}{\text{the number on the right hand side is a square}}\]

Answer 15

\[49+20\sqrt[3]{6}=29+20(1+\sqrt[3]{6})\]

Answer 16

tough one...

Answer 17

http://math.stackexchange.com/questions/456681/find-positive-intergers-a-and-b-such-that/456692?noredirect=1#456681

Answer 18

@pgpilot326

Answer 19

nice, thanks!