## mathhelp7 Group Title What is the solution to the equation? SQRT 2x + 10 – 6 =2 one year ago one year ago

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1. tkhunny

This? $$\sqrt{2x+10} - 6 = 2$$

2. mathhelp7

yes. would u pls show work? thx!

3. tkhunny

You need a plan. You must end with "x = simething", right?

4. tyteen4a03

@mathhelp7 For these type of functions, you will need to make it as a quadratic equation. Squaring every term in the equation should do the trick.

5. mathhelp7

thanks! i still need help.

6. ajprincess

Add 6 both sides and plz tell me vat u get @mathhelp7

7. mathhelp7

2x + 19 = 2 + 6

8. ajprincess

Right hand side part is ok. but plz check the left hand side part

9. mathhelp7

oh, 2x + 16 = 2 + 6

10. ajprincess

remember 2x+10 is within sqrt and not 6. U cannot add 6 to $$\sqrt{2x+10}$$ and make it $$sqrt{2x+16}$$ getting it?

11. ajprincess

$$\sqrt{2x+10}-6=2$$ $$\sqrt{2x+10}-6+6=2+6$$ $$\sqrt{2x+10}=2+6$$ Gettin this @mathhelp7?

12. mathhelp7

Yes. so do i cancel 6 out which will make it - 8 = 8?

13. ajprincess

Sorry i dnt get u

14. mathhelp7

i wasn't sure if i needed to continue from where you stopped.

15. ajprincess

ya u need to:) 2+6=8 so $$\sqrt{2x+10}=8$$ Square both sides and plz tell me vat u get. $$(\sqrt a)^2=a$$

16. ajprincess

$$(\sqrt{2x+10})^2=?$$ $$(8)^2=?$$

17. mathhelp7

64?

18. ajprincess

$$(8)^2=64$$ is right.:) What abt $$(\sqrt{2x+10})^2=?$$

19. mathhelp7

sqrt2x+10 = (x + 5) (x – 5) = 64? i'm lost :(

20. ajprincess

noo. |dw:1356933328085:dw| can u find nw?

21. mathhelp7

Thanks for your help and patience. i give up!

22. ajprincess

That's k:) Let me tell it again then. $$(\sqrt{2x+10})^2=2x+10$$ Is it clear?

23. mathhelp7

ok. i get it but what happens to the 64?

24. ajprincess

Ya nw equate them. i.e 2x+10=64 Nw solve fro x. Can u do it?

25. mathhelp7

i think so. is it x=56?

26. mathhelp7

i think so. is it x=52?

27. ajprincess

noo. Plz follw the steps. 1.Subtract 10 both sides 2.Divide by 2 both sides

28. mathhelp7

x = 27?

29. ajprincess

ya. perfect:)

30. mathhelp7

oh. thank u, thank u!!!

31. ajprincess

welcome:)