Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (fanduekisses):

Solving Radical equation help?

OpenStudy (fanduekisses):

\[\sqrt{n-3}+4=2\]

hartnn (hartnn):

subtract 4 from both sides first, what do u get ?

OpenStudy (fanduekisses):

I got n=7, but when I plug it in, I get 6

OpenStudy (anonymous):

there is something special here your not seeing

hartnn (hartnn):

yes, you got n =7 correctly, but

hartnn (hartnn):

can a value of square root be negative ?

OpenStudy (fanduekisses):

no

hartnn (hartnn):

so, you have \(\sqrt{n-3}=-2\) is that even possible ?

OpenStudy (fanduekisses):

oh no, so no solution?

hartnn (hartnn):

correct! :)

OpenStudy (fanduekisses):

Yay, thanks so much ;D

hartnn (hartnn):

welcome ^_^

OpenStudy (fanduekisses):

\[\sqrt{x+6}=\sqrt{3x-8}\] On this one I just square both and combine like terms right?

hartnn (hartnn):

yes!

hartnn (hartnn):

and in this too, you need to verify whather the 'x' value you get is actually the solution or not.

OpenStudy (fanduekisses):

no solution because I get x=-0.5

hartnn (hartnn):

how ?

OpenStudy (fanduekisses):

I combiined like terms, x+6=3x-8 x+3x=4x 6-8=-2

OpenStudy (fanduekisses):

-2 divided by 4 = -0.5

hartnn (hartnn):

not like that

hartnn (hartnn):

to combine terms, they should be on same side of = x+6 = 3x-8 subtract x from both sides

OpenStudy (fanduekisses):

Ohh right, ok;)

OpenStudy (fanduekisses):

so it is x=7

OpenStudy (fanduekisses):

Thanks ;D

hartnn (hartnn):

yes!

hartnn (hartnn):

welcome ^_^

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!