## anonymous 5 years ago need help solving this equation in quadratic formula

1. anonymous

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

2. anonymous

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

3. amistre64

a fraction over a fraction right?

4. anonymous

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

5. anonymous

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

6. amistre64

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

7. anonymous

+2

8. anonymous

the 3rd portion of the problem is +2

9. amistre64

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

10. amistre64

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

11. amistre64

the common denom fades away to that :)

12. amistre64

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

13. amistre64

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

14. amistre64

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

15. anonymous

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

16. anonymous

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

17. anonymous

i one + and one - btw

18. amistre64

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

19. anonymous

okkk thanks!

20. amistre64

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

21. anonymous

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

22. amistre64

that should be the simplified form

23. amistre64

-3 (+-) i sqrt(3)

24. anonymous

ohhh. So the answer isn't a fraction

25. amistre64

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?

26. anonymous

it has 2 spots for answers. so both I supose

27. amistre64

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

28. anonymous

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

29. anonymous

sorry i'm so confusing :)

30. amistre64

lol

31. anonymous