Question

solve x-1 = sqrt(5x-9)

Answer 1

Square both sides.

Answer 2

x-1=sqrt(5x-9)
(x-1)^2=5x-9

Then expand (x-1)^2 and post what you get

Answer 3

x^2 - x - x + 1 ? @dfav

Answer 4

yep yep

Answer 5

not sure what to do with the x^2 now and how to get rid of it @dfav

Answer 6

Here is what we have now

x^2-x-x+1=5x-9

do you agree?

Answer 7

yes that's right @dfav

Answer 8

so it's be x=2 & x=5

Answer 9

ok so combine all the like terms

x^2-2x-5x+1+9=0

Answer 10

x^2-7x+10=0

Answer 11

which factors out to
(x-5) (x-2)

so...x=5 and x=2

Answer 12

so which one do I know is the right answer, either 5 or 2 @dfav

Answer 13

They are both possible solutions @Alexis2332 :)

Answer 14

yup that's true- like I said earlier