## e.cociuba 3 years ago Solve each equation by undoing each operation: 2(x+4)^2 - 7= 0

1. anonymous

(a+b)^2=a^2+2ab+b^2

2. anonymous

try that

3. amistre64

4. amistre64

in order to solve for x, its best not to have a bunch of seperate terms of x

5. e.cociuba

Ok so this is where I am at: |dw:1370954995424:dw|

6. anonymous

yep. divide both sides by 2 now.

7. anonymous

i personally would do it a different way.

8. e.cociuba

Y divide by 2?

9. amistre64

becasue 2/2 = 1

10. amistre64

and quadratic formula is not faster ....

11. anonymous

haha ^ true

12. anonymous

but wiser.

13. amistre64

|dw:1370955168617:dw|

14. amistre64

we are trying to unwrap the "x" ... its stuck inside alot of excess baggage

15. e.cociuba

Ok so this is where I am: |dw:1370955243877:dw|

16. e.cociuba

Is tht correct?

17. amistre64

so far so good, i would not try to decimate that sqrt(7/2) tho .. unless its asking for an approximation

18. amistre64

leave it alone .... the fraction is not important

19. e.cociuba

Ok so this then? |dw:1370955496977:dw|

20. amistre64

$x+4=\pm\sqrt{\frac{7}{2}}$ this is an EXACT value, so unless the solution is asking you to decimate it ... leave it as is

21. anonymous

^ use that!

22. amistre64

now finish off that 4 that keeps tagging along

23. e.cociuba

Oh ok so it's: |dw:1370955725448:dw| Correct?

24. anonymous

sweet.

25. amistre64

correct

26. e.cociuba

Awesome! Thanks guys! I appreciate it! GBU! :)

27. amistre64

$x=\frac{-8\pm\sqrt{14}}{2}$is also acceptable i believe

28. anonymous

29. e.cociuba

Thanks for being patient with me guys! I appreciate it ;)

30. amistre64

good luck

31. e.cociuba

Gracias :))

32. anonymous

i'm going to hit the sack now. have fun with maths :) good luck

33. e.cociuba

Thanks you for you help! :)