Question

I can figure these problems out without the negative in there. But now I have a negative!!
(x+5)^2=-15

I am using b+√k and b-√k
Now I set it up as
x+5=√-15 and x+5=√15
Did I place the - sign correctly?

Answer 1

There's no solution - any real number squared is always positive.

Unless you've learned complex numbers.

Answer 2

If you have not been introduced to complex numbers, then there are no solutions.

Answer 3

Yes the problems that I have been working do not have any - in the beginning of the problem. So its no solution I guess right?

Answer 4

^ Correct. Because whenever you square a real number, the result is always positive. So for
(x+5)^2=-15
if x is real, then (x+5)^2 can never equal -15.

Answer 5

How did you get the negative? Did they give it to you, or did you start with something else ?

Answer 6

No they gave me the negative it was in the original problem

Answer 7

(x+5)^2=-15

Answer 8

then people have already answered. No real solution.

Answer 9

alright thank you

Answer 10

If you are learning about sqrt(-1) = i
then you would do
\[ x+5 = ±\sqrt{15} i\]
and
\[ x = -5 ±\sqrt{15} i\]

Answer 11

Oh no we have not yet started the i

Answer 12

ok, then no solution is good.