Question

Arrg I need help AGAIN

Answer 1

\[x-8=-\sqrt{x ^{2}-8}\]

Answer 2

Solution or nah?

Answer 3

damn.. one sec.

Answer 4

there is a solution... but I'm trying to figure it out... unless we square both sides..
but that - has to be outside so it needs to be something like\[(x-8)^2=-(\sqrt{x ^{2}-8})^2\] then on the right hand side distribute the negative
for the left hand side expand

Answer 5

ok I'm following you so far

Answer 6

\[(x-8)(x-8)=-(x^2-8) \]

Answer 7

expand the left = distribute the - on the right

Answer 8

can you do that? O_o

Answer 9

uhh I'm not sure what it means but i think i could if i know what it was lol

Answer 10

use foil for the left hand side of the equation = distribute the negative sign

Answer 11

\[(x-8)(x-8)=-(x^2-8) \]
I'll do the easy part then you can do the hard one ^_^
\[(x-8)(x-8)=-x^2+8 \]

Answer 12

use FOIL method for (x-8)(x-8)

Answer 13

in the name of Mathematics we shall expand LOL

Answer 14

ohhhh yes i know what to do

Answer 15

once that is done.. get the variables to the left and put all numbers to the right

Answer 16

\[x^2-16x+64=-x^2+8\] \[-16x=-56\]

Answer 17

ok then divide -16 on both sides

Answer 18

x=3.5

Answer 19

It seems like I did something wrong there though

Answer 20

oy keep it in fraction form

Answer 21

\[x=3\frac{ 1 }{ 2 }\]

Answer 22

something is off. the denominator part is right.. but not the numerator... it's supposed to be x= 9/2

Answer 23

hint:
we can rewrite the original equation as below:
\[\Large \sqrt {{x^2} - 8} = 8 - x\]

Answer 24

ok but that would be that we need to square both sides right?

Answer 25

\[x^2-8=(8-x)(8-x) \]
\[x^2-8=64-8x-8x+x^2\]
\[x^2-8=64-16x+x^2\]

oh I think I see how it will work now.

Answer 26

now try bringing all variables to the left and all numbers to the right

Answer 27

hello?

Answer 28

I'm here just doing the math

Answer 29

16x=72

Answer 30

yes! @UsukiDoll

Answer 31

ok so now divide 16 from both sides

Answer 32

\[x=\frac{ 9 }{ 2 }\]

Answer 33

I was trying to get a step by step solution to see how the 9 happen but these sites... I swear they love making a profit off of people for the whole guide.
yes! WE GOT IT!

Answer 34

whoops ._>
I think we should've have
\[(x-8)^2=(-\sqrt{x ^{2}-8})^2\]
\[(x-8)(x-8)=x^2-8\]
\[x^2-16x+64=x^2-8\]
allaaalalal and it should be x =9/2

Answer 35

-16x=-72
x = 9/2 x.x

Answer 36

yeah thats where I'm at XD

Answer 37

it's been a while.. now I just refreshed my memory... include all signs when squaring both sides XD

Answer 38

lol so I'm having a bit of trouble checking it because its a fraction >.< I hate fractions

Answer 39

\[\frac{9}{2}-8=-\sqrt{(\frac{9}{2}) ^{2}-8}\]

Answer 40

\[\frac{9}{2}-8=-\sqrt{(\frac{81}{4}) -8}\] then use lcd

Answer 41

Ok so I used a decimal instead and i got 9.25=8.25 so I think there is no solution but I'm not sure if I did the math right.

Answer 42

don't use decimals. It's a pain

Answer 43

\[\frac{9}{2}-\frac{16}{2}=-\sqrt{(\frac{81}{4}) -\frac{32}{4}}\]

Answer 44

\[\frac{-7}{2} = -\sqrt{\frac{49}{4}} \]

Answer 45

take the square root of 49 and 4.. it's magic :)

Answer 46

Oh ok so -7/2=-7/2

Answer 47

yes

Answer 48

cool thanks