Question

Sqrt 7x+2 = 2x

Answer 1

\[\sqrt{7x+2}=2x\]?

Answer 2

Yes

Answer 3

if so square both sides get
\[7x+2=4x^2\] solve for x via
\[4x^2-7x-2=0\]
\[(x-2)(4x+1)=0\]

Answer 4

\[x-2=0\]
\[x=2\] or
\[4x-1=0\]
\[x=-\frac{1}{4}\]

Answer 5

then check answers and last one doesn't work because square root is always positive, so only solution is
\[x=2\]

Answer 6

You are my hero :) <3 thank you for all the help!!!!!! You are awesome!!!!!

Answer 7

yw hope it is clear!

Answer 8

btw you really do have to check when you square. otherwise you may have a wrong answer

Answer 9

Oh yes it is , I completely understand you :)