Question

Solve by completing the square: x^2-5x+5=0

Answer 1

Do you know how to complete the square?

Answer 2

Yes. 1/2 the middle number then squared

Answer 3

Ok, so complete this square.

Answer 4

After getting the 5/2^2 which is 25/4, my question is what to do next.

Answer 5

x^2 + bx + c = 0 -> [x^2 + bx + (b^2)/4] = (b^2)/4 - c

(x + b/2)^2 = (b^2)/4 - c

So, you will add that 25/4 to both sides and subtract 5 from both sides.

Answer 6

So, at this point, you will have:

(x - 5/2)^2 = 25/4 - 5

Answer 7

Question #1: Do you understand the process up to this point?

Question #2: can you take it from here?

2 questions. Looking for 2 answers.

Answer 8

Is it (x-5/2)^2=5/4? or did I mess that up?

Answer 9

You're doing fine. Now you have to get the square root. Don't forget the +- sign since you have a square root.

Answer 10

x - 5/2 = +- sqrt(5/4)

Answer 11

The answer in the book says 5+,-sqrt5/2 but what I ended up getting was 5/2+,-5/4

Answer 12

x - 5/2 = +- sqrt(5/4) -> x - 5/2 = +- sqrt(5)/2

x = 5/2 +- sqrt(5)/2 -> x = [5 +- sqrt(5)] / 2

Answer 13

mhmm.

Answer 14

And that's it!

Answer 15

Thank you.

Answer 16

uw!