## anonymous one year ago Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1. x = −2 x = −6 and x = −5 x = −6 and x = −2 x = 2

1. anonymous

@Hero @pooja195 @Nnesha

2. Nnesha

$\huge\rm \sqrt{x+6}-5=x+1$like this ?

3. anonymous

ya

4. Nnesha

first we need to get rid of -5 from left side so move -5 to the right side how would you do that ? would you add ,subtract ,multiply or divide ?

5. anonymous

6. Nnesha

yes right add 5 both sides

7. Nnesha

what did you get ?

8. anonymous

6

9. Nnesha

yes right so $\sqrt{x+6}=x+6$ now take square both sides to cancel out the square root $\huge\rm (\sqrt{x+6})^2= (x+6)^2$

10. Nnesha

square root and square cancel each other out you will get x+6 at left side now foil (X+6)^2 (X+6)^2 is same as (x+6)(x+6) multiply

11. anonymous

sorry my internet is being slow

12. Nnesha

it's okay take ur time :=)

13. anonymous

x^2+36

14. Nnesha

no that's not right there is a plus sign so you should get 3 terms

15. Nnesha

|dw:1441907589514:dw| multiply top two terms with the left side write ur answer in the box

16. anonymous

x^2+12X+36?

17. Nnesha

yes right |dw:1441907646624:dw| so $\huge\rm x+6 =x^2+12x+36$set it equal to zero move x+6 to the right side

18. anonymous

19. anonymous

wait nvm

20. Nnesha

yes right!

21. anonymous

so i could take out 6 times 6 out of 36

22. Nnesha

hmm now you can't take out 6 first move x+6 to the right side then you will qudratic equation

23. anonymous

oh ok

24. anonymous

so once i move X+6 over it would be X^2 +11X+30 right

25. Nnesha

looks good

26. anonymous

and i could pull 5 times 6 out of 30

27. Nnesha

yes right find two numbers when you multiply them you should get product of AC ( a =leading coefficient , c= constant term) and when you add or subtract them you should get middle term

28. Nnesha

so 5 times 6= 30 5+6=11 good to go right your answer as (x+ 1st #)(x +2nd #)

29. anonymous

so would it B then as my answer?

30. Nnesha

yes right!

31. anonymous

ya!!

32. anonymous

thank you

33. Nnesha

wait a sec plz

34. anonymous

im here

35. Nnesha

nvm yes B is correct!

36. anonymous

ok thank you

37. Nnesha

np :=)