solve by completing the square x^2 - 2x + 24

Question

anonymous · Answer

x=1 plus or minus radical 5

anonymous · Answer

do you think you can explain to me how to do completing the square?

.sam. · Answer

(x-1)^2 +23

anonymous · Answer

^ wait nvm.. I messed up sorry.

.sam. · Answer

First you divide middle coefficient by 2,
and then put (x-b)^2 +b^2 +C
b is the middle number , then take b out and square it as shown. the C is the y-intercept or the one without any "x" multiplied by it

.sam. · Answer

o wait , in (x-b)^2,

the b must be divided by 2

anonymous · Answer

x=1 plus or minus radical 23

Basically you move the 24 to the other side.

So you have :

x^2-2x=-24

now look at the 2x... all you have to do is divide the coefficient by two... so it'd be 2/2 which is one.. and then you square the 1... which is one...

now that's that number you should add to both sides..

so it'd be:

x^2-2x+1=-23

which can simplified into

(x-1)^2=-23

next you get the squareroot of each side, and then isolate the x :)

anonymous · Answer

Oh okay i  get that now :) thanks that cleared it up a lot better :)