SOLUTION: Please explain how I may obtain the needed answer. I have (x+3)^2=-25 I thought (X+3)*(x+3)=X^2+6x+9= -25 and moved into quadratic form by adding 25 to both sides. like so, x^

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Please explain how I may obtain the needed answer. I have (x+3)^2=-25 I thought (X+3)*(x+3)=X^2+6x+9= -25 and moved into quadratic form by adding 25 to both sides. like so, x^      Log On

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Question 320183: Please explain how I may obtain the needed answer.
I have
(x+3)^2=-25
I thought
(X+3)*(x+3)=X^2+6x+9= -25 and moved into quadratic form by adding 25 to both sides. like so,
x^2+6x+34=0 then solve for X.
At this point I usually give the brain a break and solve using the TI89.
Problem is that it keeps telling me false instead of the needed, {-3+5i,-3-5i}
Can anyone tell me where I went wrong?
Thanks
Answer by stanbon(57357) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of squares factors as follows:
a^2 + b^2 = (a+bi)(a-bi)
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(x+3)^2=-25
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(x+3)^2 + 25 = 0
Factor:
[x+3+5i][x+3-5i] = 0
x = -3-5i or x = -3+5i
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Not sure what your TI89 is doing.
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Cheers,
Stan H.
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