## boomerang285 Group Title sqrt x+10 = x-2 one year ago one year ago

1. boomerang285 Group Title

$\sqrt{x+10}=x-2$

2. Nameless Group Title

you first need to get rid of the radical.

3. Nameless Group Title

so square both sides.

4. boomerang285 Group Title

ok

5. Nameless Group Title

so you should have x+10 = x^2-4x-4 ?

6. Nameless Group Title

now move your terms all to one side and set it equal to 0 and factor or use the quadratic to solve for x

7. boomerang285 Group Title

ok

8. Nameless Group Title

actualy... i typoed.. it should be $x+10=x^{2}-4x+4$

9. boomerang285 Group Title

ok i was confused trying to work that out

10. Nameless Group Title

and the only reason i move to the right is cause I dont want to multiply by a negative 1.

11. Nameless Group Title

$x ^{2}-5x-6=0$

12. Nameless Group Title

you know how to factor or do the quadratic?

13. boomerang285 Group Title

i have my text book here, these confuse me so much

14. Nameless Group Title

ok. i would factor this. so you set up parens.. ( )( ) right? fill them with (x )(x ). now we are looking for 2 numbers that multiply to 6 and add to -5

15. Nameless Group Title

so 2 and 3 seem to work nice.. but they are not gonna get us to where we want because of the negative 5. so we try 1 and 6. (x 1)(x 6) right?

16. boomerang285 Group Title

so 2 and 3

17. boomerang285 Group Title

ok

18. Nameless Group Title

now since we know we a negative 5.. we know that 6 has to be negative. so (x+1)(x-6)

19. boomerang285 Group Title

so (x+1)(x-6)

20. Nameless Group Title

solve those as separate equations .. x-6=0 and x+1=0

21. boomerang285 Group Title

x=6 x=-1

22. Nameless Group Title

yep. now.. the most important.. you need to plus these numbers back into the equation.. to check if both answers work.

23. boomerang285 Group Title

ok

24. Nameless Group Title

$\sqrt{-1+10} =-1 - 2$

25. Nameless Group Title

$\sqrt{6+10} = 6-2$

26. boomerang285 Group Title

sqrt9=-3 sqrt16 = 4

27. Nameless Group Title

so x = 6 is your only answer? does that make sense?

28. Nameless Group Title

$\sqrt{9} =3 \neq -1-2 = -3$ $\sqrt{16}=4 = 6-2=4$