SOLUTION: Hi, I solved this quadratic equation but was not sure how to finalize my answer. I thought it came out to be a "not a real solution" but then I pulled out the -6 and continued. W

Question 409987: Hi, I solved this quadratic equation but was not sure how to finalize my answer. I thought it came out to be a "not a real solution" but then I pulled out the -6 and continued. We have not learned how to write it as a complex number yet, so we write it as "not a real solution". What do you think?
(x-3)^2=-9
(x-3)(x-3)+9=0
x^2-3x-3x+9+9=0
x^2-6+18=0
-6+-sqrt((-6)^2-4(1)(18))/2(1)
-6+-sqrt(36-72)/(2)
-6+-sqrt(-36)/(2)
(-6+-(-6))/(2)
x= -(6)/1 which is -6 and x = 0
or for the first x answer do I write it as:
6+-6sqrt-1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(x-3)^2=-9
(x-3)(x-3)+9=0
x^2-3x-3x+9+9=0
x^2-6x+18=0
x = [-6+-sqrt((-6)^2-4(1)(18))]/2(1)
x = [-6+-sqrt(36-72)]/(2)
x = [-6+-sqrt(-36)]/(2)
---
I changed your next step because sqrt(-36) is 6i
---
x = [(-6+-(6)i)/(2)
---
2 is a common denominator so you get:
--------------
x = -3+3i or x = -3-3i
============================
Cheers,
Stan H.
RELATED QUESTIONS
Hi, I've been trying to solve a word problem but can't figure out how to do it. I've... (answered by ikleyn)

A right triangle has a 90 degree angle, and an angle x. What will the measure of the... (answered by Alan3354)

Hi, I need some help understanding this absolute value inequality function. I don't... (answered by ikleyn,josgarithmetic,MathTherapy)

I answered the equation 9x^2=36 in what i thought was quadratic form but my professor... (answered by lynnlo,Alan3354)

Hi, I came across this problem in an old newspaper and believe I have solved it but am (answered by Boreal,Alan3354)

Hi, I've come to an unusual answer on a quadratic equation, and I would greatly... (answered by jim_thompson5910)

Hi, for the life of me I can not graph 2 periods for y=2sec3(x-pie/6) -1 I know... (answered by stanbon)

This problem was on hand out. I think I solved it correctly, but am not sure. My answer (answered by tutorcecilia)

Simplify (be sure to rationalize all denominators) 12. x^(3/4) + 5/[x^(1/4)] (you may (answered by stanbon)