Question

PLEASE HELP

Answer 1

\[\sqrt{2x - 3} =\sqrt{x}\]
to identify whether it is extraneous or not, you need to identify first the value of x
\[(\sqrt{2x-3})^2 = (\sqrt{x})^2\]
what would be the value of x?

Answer 2

im not sure is it x?

Answer 3

@shinalcantara

Answer 4

\[2x - 3 = x\]
\[2x - x = 3\]
\[x = 3\]
since there's already a value of x, try to substitute it to the original equation..
if all the values of x that has been acquired would make the original equation right during the substitution, then it's not extraneous.. it is extraneous if in any case you will get a value of x but when substituted to the original equation would make the equation not true..

Answer 5

it works, so its non extraneous . thanks !

Answer 6

yw :)