Question

Solve...
Radical 3x/ Radical 2x + 3=2

Answer 1

\[\sqrt{3x}\div \sqrt{2x+3}=2\]

Answer 2

start with
\[\frac{3x}{2x+3}=4\]

Answer 3

What would be my first steps to solve this please?

Answer 4

that is, square both sides

Answer 5

Square both sides of the equation! Got it!

Answer 6

then
\[3x=4(2x+3)\]

Answer 7

etc

Answer 8

don't forget to check at the end because you squared and that can mess things up. so check your solution make sure it is valid

Answer 9

I got 12/-5, is that correct?

Answer 10

yes but that means there is no solution

Answer 11

why is there no solution?

Answer 12

because you cannot take the square root of a negative number. so don't say "the answer is
\[-\frac{12}{5}\] say there is no solution

Answer 13

OK - Thanks!

Answer 14

yw

Answer 15

I have another one, I will post on the other side!