need help solving this equation in quadratic formula

Question

anonymous · Answer

$$4x-4 \over x-2 $$$$= x+6 \over x+5 $$ +2

anonymous · Answer

it's supposed to be a fraction but for some reason it didn't work.

amistre64 · Answer

a fraction over a fraction right?

anonymous · Answer

it's 4x-4 over x-2 = x+6 over x+5 (not in fraction form is the +2)

anonymous · Answer

idk why it came up over each other like that. I have the problem presented in a straight line.

amistre64 · Answer

$$\frac{4x-4}{x-2} = \frac{x+6}{x+5} ??$$

anonymous · Answer

+2

anonymous · Answer

the 3rd portion of the problem is +2

amistre64 · Answer

ok..... the key is to get common denominators straight across.

amistre64 · Answer

(4x-4)(x+5) = (x+6)(x-2) + 2(x+5)(x-2)

amistre64 · Answer

the common denom fades away to that :)

amistre64 · Answer

4xx +16x -20 = xx +4x -12 + 2xx +6x -20

amistre64 · Answer

4xx - xx - 2xx = x^2
16x -4x -6x = +6x
-20 +12 +20 = +12

x^2 +6x +12 = 0

amistre64 · Answer

-6/2 +- sqrt(36 -4(12))/2  looks to be imaginary solutions; or i messed up calculting :)

anonymous · Answer

just to make sure I enter it correctly into the online assignment, does it look like this. only i type the same thing twice, one + one 0$$-6 \over 2 +\sqrt{36-4(12)}$$ over 2

anonymous · Answer

wooh, i think that came out different than I anticipated.. SOrry, is there any way you could post it. ha

anonymous · Answer

i  one + and one - btw

amistre64 · Answer

$$\frac{-6 \pm \sqrt{-12}}{2}$$

anonymous · Answer

okkk thanks!

amistre64 · Answer

$$-3 \pm i \sqrt{3}$$

anonymous · Answer

it wont let me type in the square root of 12 negative.. should that become positive?

amistre64 · Answer

that should be the simplified form

amistre64 · Answer

-3 (+-) i sqrt(3)

anonymous · Answer

ohhh. So the answer isn't a fraction

amistre64 · Answer

the answer can be simplified; how it wants you to input it into the program is probably in simplest form; doe sit want "real" roots? or any roots?

anonymous · Answer

it has 2 spots for answers. so both I supose

amistre64 · Answer

both isnt an option :)  the 2 spots are most likely for the +sqrt and the -sqrt.

anonymous · Answer

yep, they are. ohh, i see what you're asking. it just says to simplify

anonymous · Answer

sorry i'm so confusing :)

amistre64 · Answer

lol

anonymous · Answer

Thanks for your help!