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Mathematics 10 Online
OpenStudy (anonymous):

Helpp. . . .Solve each equation. Check for extraneous solutions. . .

OpenStudy (anonymous):

\[-3=\sqrt{4-n}-\sqrt{6n-2}\]

OpenStudy (anonymous):

To solve this equation we need to first get one of the square roots on the other side or the equation, in this case lets add root 6n-2 to booth sides of the equation....

OpenStudy (anonymous):

now lets square both sides

OpenStudy (anonymous):

after squaring the equation looks like this: 7-6root6n-2+6n=4-n

OpenStudy (anonymous):

I don't understand that why is there still a square root?

OpenStudy (anonymous):

well we are not done yet, but to answer your question....

OpenStudy (anonymous):

shouldn't it be 9+6n-2=4-n?

OpenStudy (anonymous):

-3+root 6n-2=root 4-n, we square both sides, this gives us: 9-3root 6n-2-3root 6n-2+6n-2 on the left hand side and of course squaring roo 4-n just give us 4-n on the right side

OpenStudy (anonymous):

What? Can you use the equation writer please?

OpenStudy (anonymous):

\[(-3+\sqrt{6n-2})^2=\sqrt{4-n}^2\]

OpenStudy (anonymous):

OH! Nevermind, I understand now.

OpenStudy (anonymous):

Hahaa, sorry

OpenStudy (anonymous):

Okay continue.

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