Question

PLEASE HELP LONG QUESTION
MEDALS WILL BE GIVEN :D

Answer 1

hi

Answer 2

prove
\[(x+ \frac{ 1 }{2 })^{2} = x^2 + 2 + \frac{ 1 }{ x^{2} }\]
This is part A which i have done...

Answer 3

part 2 is
given that
\[y = 2 + \sqrt{5} \] simplify
\[y + \frac{1 }{ y}\]
which i have done...
now part 3 i dont understand
i found part 2 equals \[2\sqrt{5}\]

Answer 4

part 3 is!!!
use the result in part 1 to evaluate \[y ^{2} + \frac{ 1 }{ y^{2} }\] without determining y

Answer 5

\[(2\sqrt{5})^2 -2\]

Answer 6

Done.

Answer 7

The answer is then 18.

Answer 8

oh nice...
last part similarly find y^2 + 1/ y^2 for
2 - sqrt 3

Answer 9

Do exactly the same thing...The answer is (4)^2 -2....That equals 14.

Answer 10

where did u get that (4) from??

Answer 11

You do what you did in part 2.

Answer 12

part 1 sorry.

Answer 13

you substitute y for 2-sqrt(3) into that equation:
\[y+\frac{ 1 }{ y }\]

Answer 14

ok thanks so much :)

Answer 15

No worries.