Question

Solve each equation. Write all proposed solutions. Cross out those that are extraneous.

Answer 1

\[\sqrt{2m+4}-\sqrt{m+3}=1\]

Answer 2

ick

Answer 3

start with
\[\sqrt{2m+4}=1+\sqrt{m+3}\] then square both sides

Answer 4

My thoughts exactly!

Answer 5

you get
\[2m+4=1+m+3+2\sqrt{m+3}\] now get the radical by itself on the right and square again

Answer 6

\[2m+4=m+4+2\sqrt{m+3}\]
\[m=2\sqrt{m+3}\] not really so bad actually

Answer 7

btw i hope it is clear what i did
took
\[(\sqrt{2m+4})^2=(1+\sqrt{m+3})^2\]

Answer 8

I could follow it, just barely but i got it. Thank you again!