Question

Solve and show work! :D Medal Received if correct! :D

Answer 1

\[s + 5 = \frac{ 6 }{ s }\]

Answer 2

Hey Jay.

So if we start by multiplying both sides by \(\large s\), we get something like this,\[\large s(s+5)=\frac{6}{s}s\]Do you understand why we would want to do that? What happens on the right side?

Answer 3

cancels out @zepdrix

Answer 4

Ok good.\[\large s(s+5)=6\]Next distribute the \(s\) to each term in the brackets.

Answer 5

okay what now @zepdrix So far: \[s^2 + 5s = 6\]

Answer 6

Subtract 6 from each side, and we're left with a nice quadratic.\[\large s^2+5s-6=0\]

Answer 7

Hmm I think this will factor very nicely.
Are you comfortable with factoring?

Answer 8

I figured this out already and both are solutions to the problem. :D @zepdrix

Answer 9

Yay good job. :)

Answer 10

x = -6 & x = 1

Answer 11

Ah yes :O good good.

Answer 12

are those the correct answer

Answer 13

\[\large (s+6)(s-1)=0\]
Giving us,\[\large s=-6 \qquad \qquad s=1\]

Yup looks good.

Answer 14

awesome