Question

Find an exact solution for

Answer 1

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

Answer 2

Then, find the approximate solution.

Answer 3

You could start by cross-multiplying to get rid of the fractions...

Answer 4

start with \(\sqrt{5}x=2(\sqrt{5}-1)\)
what @Shane_B said

Answer 5

i got 2.5 rounded

Answer 6

You jumped straight to an answer...and we didn't even get there yet :P

Answer 7

thats what i got for multiplying

Answer 8

A. \[\frac{ 10-2\sqrt{5} }{ 5 } ; 1.1\]
B.\[2-2\sqrt{5} ; -2.5 \]
C. -2 ; 2

Answer 9

Step by step:\[\frac{ \sqrt{5} -1}{x } = \frac{ \sqrt{5} }{ 2 }\]Cross multiply:\[\sqrt{5}x=2(\sqrt{5}-1)\]Simplify right side:\[\sqrt{5}x=2\sqrt{5}-2\]Solve for x:\[x=\frac{2\sqrt{5}-2}{\sqrt{5}}=\frac{2\sqrt{5}}{\sqrt{5}}-\frac{2}{\sqrt{5}}=2-\frac{2}{\sqrt{5}}\]

Answer 10

That's the exact answer....put it into a calculator to get the approximate answer.

Answer 11

If you look closely, that answer is equivalent to answer A. If you don't see that, I can explain it further.

Answer 12

i got 1.1 !