## Tabbiejack 2 years ago Solve the equation. Check your solution. 4= √h-6 A. 10 B. 100 C. √10 D. 5

1. ToniStark

|dw:1370237549168:dw|

2. UnkleRhaukus

|dw:1370237614254:dw|

3. Tabbiejack

I got A is right

4. UnkleRhaukus

check it; is $$4= \sqrt{10}-6$$ ? $10=\sqrt{10}$ no.

5. UnkleRhaukus

$4= \sqrt{h}-6\\4+6= \sqrt{h}\\10=\sqrt{h}\\10^2=h$

6. Tabbiejack

ok so its d

7. UnkleRhaukus

check $4= √5-6\\10=\sqrt5?$ no

8. Tabbiejack

c?

9. Tabbiejack

I dont get it

10. UnkleRhaukus

lets start for the start. $4=\sqrt{h}-6$ add six to both sides $4+6=\sqrt{h}-6+6$ tell me what you get when simplifying this

11. Tabbiejack

ok

12. UnkleRhaukus

...

13. Tabbiejack

idk this is awful c right

14. UnkleRhaukus

$4+6=\sqrt{h}-6+6$ simplify the term in the brackets $(4+6)=\sqrt{h}+(-6+6)$

15. Tabbiejack

O ok 100

16. UnkleRhaukus

what do you get when you simplify (4+6)?

17. Tabbiejack

10

18. UnkleRhaukus

19. Tabbiejack

0

20. UnkleRhaukus

GOOD so you have $10=\sqrt{h}$ Now square both sides $10^2=\sqrt{h}^2$ simplify this

21. Tabbiejack

100

22. UnkleRhaukus

yes the left hand side = 100, what about the right hand side?

23. Tabbiejack

same

24. UnkleRhaukus

$\sqrt h^2=h$

25. UnkleRhaukus

so you have arrived at $100=h$ now lets check. $4= \sqrt{100}-6$ $4=\sqrt{10^2}-6\\4=10-6$

26. Tabbiejack

o ok that was confusing me....

27. Tabbiejack

so its B

28. UnkleRhaukus

yes, because 4=4 is always true

29. Tabbiejack

thanks so much!!