Question

Find a exact solution for:
(Is posted below)
Then, find approximate solution.

Answer 1

multiply by 2 and by \(x\)

Answer 2

what do u get?

Answer 3

can you show me step by step how to solve all of it

Answer 4

ok

Answer 5

\[ \large \frac{\sqrt{5}-1}{x}=\frac{\sqrt{5}}{2} \]
\[ \large 2(\sqrt{5}-1)=x\sqrt{5} \]

Answer 6

what would u do next?

Answer 7

I know you get 1.1 after you solve everything dont you , and idk this is my first time doing this..

Answer 8

now u divide by \(\sqrt{5}\):
\[ \large \frac{2(\sqrt{5}-1)}{\sqrt{5}}=x \]

Answer 9

ok how would you do that

Answer 10

1.1 divided by (squareroot) 5 (I dont have a calculator)

Answer 11

this is the "exact" solution.
for an aproximate solution u can use \(\sqrt{5}\approx2.2\).

Answer 12

ok hold on a sec

Answer 13

i got 1.0909 approx.

Answer 14

so would it be this

Answer 15

yes.

Answer 16

or this one

Answer 17

cause im getting 1.1 but idk which one it woulld be

Answer 18

\[ \large x=\frac{2(\sqrt{5}-1)}{\sqrt{5}}\cdot\frac{\sqrt{5}}{\sqrt{5}}=
\frac{2(5-\sqrt{5})}{5}=\frac{10-2\sqrt{5}}{\sqrt{5}} \]

Answer 19

ok ty :)

Answer 20

y r welcome