## michelle1503 Group Title can anyone help me to the answer for this... (will post equation in a sec...) 2 years ago 2 years ago

1. michelle1503 Group Title

$\sqrt{\sqrt{x-2}+x}=2$

2. him1618 Group Title

Square both sides

3. him1618 Group Title

root(x-2) + x =4 root(x-2) = 4-x square again

4. niravshah08 Group Title

x-2 = 16 - 8x + x^2 9x = 18 + x^2 x^2 - 9x + 18 = 0

5. niravshah08 Group Title

(x-6)(x-3)=0 x=6 or x=3

6. michelle1503 Group Title

@niravshah08 how on earth did you get the first line x-2 = 16 - 8x + x^2 ???

7. niravshah08 Group Title

|dw:1341261837727:dw|

8. michelle1503 Group Title

okay i understand.... but is it wrong if i do this.....

9. michelle1503 Group Title

|dw:1341262013434:dw|

10. michelle1503 Group Title

and if it is wrong please explain why

11. michelle1503 Group Title

but there cant be two different ways of doing it... i think yours is right... hmm

12. slaaibak Group Title

Michelle, your method is wrong, because: $(a + b)^2 \neq a^2 + b^2$

13. slaaibak Group Title

So, when squaring an equation, you literally put the whole LHS and RHS in huge brackets and square the whole bracket

14. michelle1503 Group Title

so what your saying is that i can do this:

15. slaaibak Group Title

Also, at the end, always check your answers, because (usually when there's a square root) sometimes they yield a negative number under the square root, so the answer is not real

16. michelle1503 Group Title

|dw:1341262893119:dw|

17. michelle1503 Group Title

yeah when i did it my method i got a random answer but did notice the - :) just my method is wrong LOL

18. slaaibak Group Title

Yeah that's correct. Although, it would be easier to, before you square it, take the x over to the other side. It just makes it easier to solve.

19. michelle1503 Group Title

ah yeah i see i just tried it and it is possible but just involves alot of roots... and i dont like roots... they scare me... D': thanks for the explanation :D lifesaver :)

20. slaaibak Group Title

haha yeah, it gets a bit messy.. it's a pleasure :)