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Mathematics 19 Online
OpenStudy (anonymous):

\[x = \sqrt{8x}\]

OpenStudy (amistre64):

this one right?

OpenStudy (anonymous):

yup

OpenStudy (amistre64):

the answer should be 0 :) but lets see if we can get to that

OpenStudy (anonymous):

kk

OpenStudy (amistre64):

we know to square it to get rid of the squareroot right?

OpenStudy (anonymous):

yeah

OpenStudy (amistre64):

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

OpenStudy (anonymous):

so 16 + 2sgr = o

OpenStudy (amistre64):

we move it all to one side now right?

OpenStudy (anonymous):

yes.. was mine right?

OpenStudy (amistre64):

\[x^2 -8x = 8x -8x\] \[x^2-8x = 0\]

OpenStudy (anonymous):

ohh

OpenStudy (amistre64):

16 + 2sqr....no

OpenStudy (anonymous):

i hate math D:

OpenStudy (amistre64):

:) itll get easier

OpenStudy (amistre64):

We can factor out an 'x' from our equation now right?

OpenStudy (anonymous):

yeah now that imma have to repeat algebra 1 :(

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

\[x(x-8) =0\]

OpenStudy (anonymous):

xsqr - 8x = 0

OpenStudy (amistre64):

now the key to solve this is to know that anything times 0 equals 0 right? so we have 2 options... if x = 0 then; (0)(0-8) = 0 and if x = 8 then; (8)(8-8) = (8)(0) = 8 So we have to test for x = 0 and x = 8 in the original problem to see if these are good....

OpenStudy (anonymous):

so x=0 or x=8

OpenStudy (amistre64):

\[0=\sqrt{8*0}\] thats true \[8 = \sqrt{8*8} = \sqrt{64}\]and thats tru; so yes x = 0 or 8

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

x=\[\sqrt{42-x}\]

OpenStudy (amistre64):

gonna have to post that for someone else to help with; i gotta get to class :)

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

\[\sqrt{8 x}=2 \sqrt{2} \sqrt{x} \]\[x=2 \sqrt{2} \sqrt{x} \]x = 0 or 8

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