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11. Perform the indicated operations and write in standard form.
(-10 + square root -9) ^2

Hopefully in your lesson somewhere you learned that \[\Large i = \sqrt{-1}\] ? or no?

Yes I did last term.

ok great

Yes!

\[\Large \left(-10+\sqrt{-9}\right)^2\]
turns into
\[\Large \left(-10+3i\right)^2\]

Yep I have that.

personally I like the box method but you can choose which one you want to do

So..
(-10+3i)(-10+3i)

yes

keep going

I got..
100-51i

incorrect

Yeah...

Not sure where im going wrong..
(-10+3i)(-10+3i)
100-30i-30i+9i
100-60i+9i
100-51i

3i times 3i = 9i^2
not just 9i

since i = sqrt(-1), squaring both sides gives i^2 = -1

Omg -.-

91-60i

perfect

the square root 296 can turn into 2 square root 74

-20 +- 2 square root 74 all over -4
Then I can -20 and -4 --> 5

I'm kinda stuck there.

I'm not sure how you got that. What quadratic equation did you get to?

ok let's start with a 24 inch line
|dw:1444423527504:dw|

I can.

after the bending is done, we have this left over
|dw:1444423623561:dw|

if we make x = depth, then we have this
|dw:1444423774023:dw|

what is the length of the bottom side?

What do you mean? As in y?

hint:
|dw:1444423922673:dw|

replace the question marks with some expression in terms of x

I understand what your saying but I keep thinking Y. Unless its 58?

|dw:1444424117414:dw|

Or is it still 24 even though the edges have been bent.

Oh..

there are 2 xs being subtracted off, so that's how I got 24-2x

|dw:1444424187334:dw|

Yes I understand now.

Okay. Im at..
-24 +- 4 square root 65 over -4

you made an error somewhere

-24 +- square root 576 +464 over -4

it should be -464 not +464

b^2 - 4ac
(24)^2 - 4*(-2)*(-58)
576 - 464

Oops I put a + in front of the 4...

Now I have..
6+- -1 square root 7

good, \[\Large x = 6 \pm \sqrt{7}\]

Answer-> 3.4 and 8.6

both are correct

This?
\[\Large \frac{x-1}{16} \ge \frac{x-4}{20} + \frac{1}{80}\]

I would use 80 instead

True..

Yep.. Should of figured that out :/ ... x

correct

Its [-10, infinity) correct?

Okay. Sorry typed the wrong one.

Next problem..
24. Determine whether the equation defines y as a function of x.
xy + 5y = 1

I don't remember doing any problems like this. And I couldn't find any examples from my notes.

Okay!

Okay Ill do it now..