Question

x-1=√5x-9 solve for x.
after you square on both sides what do you do?

Answer 1

\[x-1 = \sqrt{5x}-9\]

OR

\[x-1= \sqrt{5x-9}\]

?

Answer 2

The square root is over 5x-9

Answer 3

yes it's right IF the original equation was written like the SECOND option I wrote

i.e. the 9 is inside the sqrt sign

OK
So now expand the left hand side

(x-1)^2=???

Answer 4

x^2-2x+1

Answer 5

good

so

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

rearrange so it is ??=0

Answer 6

x^2-7x+8=0 ?

Answer 7

not quite the last term is incorrect

x^2-7x+10=0

Now solve (probably using the quadratic equation formula...)
Remenber there are 2 answers to a quadratic

Answer 8

okay thank you

Answer 9

actually - it's easier to solve by factorising...

Answer 10

That was what I was going to do

Answer 11

Not all quadratics factorise - this one does

The formula allows you to solve all solvable quadratics