Question

Can someone help me find the solution to sqrt(2x+3) = sqrt(x)?

Answer 1

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

Answer 2

square both sides of the equation

Answer 3

okay, so now I should have 2x+3=x right?

Answer 4

By inspection, x = -3

Answer 5

so now move all terms with x to one side, and all terms without to the other (be careful with signs...)

Answer 6

so -x+2x+3=0

Answer 7

?

Answer 8

so now move all terms with x to one side, and all terms without to the other (be careful with signs...)
(you only did half of that before.... :-)

Answer 9

-x+2x=-3 ??

Answer 10

yes - now simplify the left side.....

and you're there

Answer 11

I think x=-3, yes?

Answer 12

ok - well done

Answer 13

:) Thanks