Helpp. . . .Solve each equation. Check for extraneous solutions. . .
\[-3=\sqrt{4-n}-\sqrt{6n-2}\]
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....
now lets square both sides
after squaring the equation looks like this: 7-6root6n-2+6n=4-n
I don't understand that why is there still a square root?
well we are not done yet, but to answer your question....
shouldn't it be 9+6n-2=4-n?
-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
What? Can you use the equation writer please?
\[(-3+\sqrt{6n-2})^2=\sqrt{4-n}^2\]
OH! Nevermind, I understand now.
Hahaa, sorry
Okay continue.
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